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  4. Surface Area and Volume

Escalate your learning with these worksheets, investigate how the ratio of surface areas and volumes of solid figures are influenced by the scale factor. Lined up here are scale factor - surface area and volume worksheets featuring exercises to compare the similar solid shapes, figure out their scale factor, surface area and volume; find the ratio of surface areas and volumes; side lengths and more. PDFs are available in customary and metric units.

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Scale factor relationship to surface area and volume

Incorporate these worksheets consisting of solid shapes, observe and compare the enlarged or reduced image with the original image and deduce the scale factor and ratios of surface areas and volumes.

Scale factor of volumes & surface areas

Reinforce the concept of scale factor with this set of worksheets. Determine the scale factor of surface area or volume of the original image to the dilated image.

Scale factor, ratio of surface areas and volumes - Table form

The table format exercise featured here, assists in analyzing the relationship between scale factor, surface area and volume. Determine the surface area, volume and the ratios of the original and dilated figures.

Ratio of volumes and surface areas

Included here are simple word problems to compute the ratio of surface areas and volumes based on the given scale factor.

Surface area of solid similar figures

Organized into two levels of complexity, the worksheets consist of exercises and word problems to find the surface area of the enlarged or reduced 3D shape based on the given surface area or side length.

Two levels of difficulty with 3 worksheets each

Volume of similar figures

Umpteen similar solid figures are presented in these worksheets, determine the volume of the original or dilated image based on the scale factor given in Level 1 and based on the side length in Level 2.

Two levels of difficulty with 3 worksheets each

Surface area and volume of similar shapes

Engage these worksheets to find the surface area and volume of similar figures in 3D shapes. Employ the given data in appropriate formulas to find the unknown value.

Two levels of difficulty with 3 worksheets each

Find the sides of similar figures

Offering a perfect blend of similar figures and word problems, these worksheets contain exercises to find the labeled sides of the original or dilated solid figure based on the given surface area or volume.