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7.06 Effect of scale factors on volume and surface area

Adaptive
Worksheet

Interactive practice questions

If a rectangular prism has a length of $20$20 cm, width of $9$9 cm, and height of $5$5 cm, find the new volume when the length is scaled by a factor of $2$2.

Medium
1min

A rectangular prism has dimensions $13$13 cm by $10$10 cm by $9$9 cm.

Determine the volume after the height is scaled by a factor of $3$3.

Medium
1min

A rectangular prism has dimensions $17$17 cm by $15$15 cm by $7$7 cm.

Determine the new volume when the width is scaled by a factor of $4$4.

Medium
1min

If the length of a rectangular prism is $14$14 cm, the width is $7$7 cm, and the height is $15$15 cm, find the new volume after the length is scaled by a factor of $\frac{1}{2}$12.

Medium
1min
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Outcomes

7.MG.1

The student will investigate and determine the volume formulas for right cylinders and the surface area formulas for rectangular prisms and right cylinders and apply the formulas in context.

7.MG.1d

Describe how the volume of a rectangular prism is affected when one measured attribute is multiplied by a scale factor of 1/4,1/3,1/2, 2, 3, or 4, including those in contextual situations.

7.MG.1e

Describe how the surface area of a rectangular prism is affected when one measured attribute is multiplied by a factor of 1/2 or 2, including those in contextual situations.

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