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1) Find the surface area of a cube that as an edge that measures 14 ft. Label the answer appropriately.
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2) Find the surface area of a die if one edge measures 1.25 inches in length. Label the answer appropriately.
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3) If the surface area of a cube is 600 square feet, what is the length of one edge of the cube? Label the answer appropriately.
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Surface Area of a Rectangular Prism
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4) Find the surface area of a rectangular prism with the following dimensions: 15 ft by 12 ft by 19 ft. Label the answer appropriately. |
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5) Find the surface area of a rectangular prism with the given dimensions measured in inches. Label the answer correctly.
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6) Find the amount of cardboard needed to make a box with no top and its dimensions are 3.4 meters by 5.5 meters by 4.8 meters tall. Label the answer appropriately.
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Surface Area of a Cylinder
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7) Find the surface area of a cylinder with a radius that measures 8 cm and a height that measures 21 cm. Label the answer appropriately.
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8) Find the surface area of a cylinder with a diameter that measures 10 inches and a height that measures 15 inches. Label the answer appropriately.
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Doubling Dimensions – Effects on Surface Area
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9) Find the surface area of these cylinders. “Note that the dimensions of the second cylinder are double the dimensions of the first cylinder.” Compare how many times greater the surface area of the larger cylinder is to the surface area of the smaller cylinder.
a. State the surface area of the smaller cylinder.
b. State the surface area of the larger cylinder.
c. State how many times greater the surface area of the larger cylinder is than the surface area of the smaller cylinder.
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10) Find the surface area of these prisms. “Note that the dimensions of the second prism are double the dimensions of the first prism.” Compare how many times greater the surface area of the larger prism is than the surface area of the smaller prism.
a. State the surface area of the smaller prism.
b. State the surface area of the larger prism.
c. State how many times greater the surface area of the larger prism is than the surface area of the smaller prism.
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11) When the dimensions of a 3-D shape is doubled, how many times greater is the surface area?
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12) Is it possible for 3-D shapes to have the same surface area but different dimensions?
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13) Is it possible for 3-D shapes to have the same volume but different dimensions?
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14) What is the volume and surface area for the given box? Label the answer appropriately.
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15) What is the volume and surface area for the given box? Label the answer appropriately.
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16) Study the results for the volume and surface area for the two boxes given in the previous two problems. Which measurement is the same for both boxes: the volume or the surface area? Please explain how this measurement could be the same.
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17) Given below are measures of two angles in a scalene triangle. What is the measure of the third angle of the triangle?
58º and 87º
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18) The opposite sides of a parallelogram are congruent. |
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19) Find the area of the parallelogram. Label the answer appropriately.
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20) Print out the coordinate plane below. Plot each point according to the given description and also write the ordered pair for the point. State the letter of each description, and then the corresponding ordered pair.
a. Any point located in Quadrant I
b. Any point located in Quadrant II.
c. Any point located in Quadrant III.
d. Any point located in Quadrant IV.
e. Any point located on the x-axis.
f. Any point located on the y-axis.
g. A point located on the origin.
Printable Coordinate Plane
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21) Study the 3-D model and then answer the following questions. State the letter of the question with the answer. (a) If you were looking at the model straight down from above, how many 2-D squares would be visible? (b) If you were looking at the model straight from the left side, how many 2-D squares would be visible? (c) If you were looking at the model from the back, how many 2-D squares would be visible?
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22) Refer to the questions below about the two congruent quadrilaterals in the design. For the congruent angles, write “angle A is congruent to angle S”. For the congruent segments along the sides, write “segment AB is congruent to segment ST”. State the letter of the question, and then the answer.
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23) The two shapes are similar and have a scale factor of 0.6 between them. If the length across the bottom of the larger shape is 15 cm, then what is the length across the bottom of the smaller shape?
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24) Which measurement is more appropriate for measuring the capacity that a tanker milk truck can haul, surface area or volume?
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25) If the volume of a cube is 1000 cubic centimeters, (a) what is the measure of the length of one edge of the cube (b) what is the cube's surface area? Label answers correctly.
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26) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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