Surface Area and Volume Change in Dimensions

If all the edges of a prism are multiplied by 5, then the volume of the prism will be multiplied by ___.

• 5
• 25
• 50
• 125

If a spherical ball is enlarged so that its surface area is 9 times greater than its original surface area, then the original radius was multiplied by ____.

• 1
• 3
• 9
• 27

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Two cones are similar.  One cone has a radius of 12 inches, while the larger cone has a radius of 20 inches.  The volume of the larger cone is 20,000 cubic inches.  What is the volume of the small cone?

• 12,000 cubic inches
• 8000 cubic inches
• 7200 cubic inches
• 4320 cubic inches

Each edge of pyramid is multiplied by ⅔.  Then the surface area of the new pyramid will be _____ times larger than the original pyramid.

• 2/3
• 3/2
• 4/9
• 8/27

Tags

CCSS.7.G.B.6

The edges of a cube are all reduced by a factor of ½.  So the surface area will be reduced by a factor of _____.

• ⅛
• ¼
• ½
• ⅙

Tags

CCSS.6.G.A.4

The surface area of a pyramid is 12 cm².  A new pyramid is similar to the original pyramid and the ratio of the sides of the new to the original is 3:2.  What is the surface area of the new pyramid?

• 12 cm²
• 8 cm²
• 18 cm²
• 27 cm²

Tags

CCSS.7.G.B.6

When the edge of a cube is tripled in size, then the volume is _______.

• 81 times larger
• 27 times larger
• 9 times larger
• 3 times larger

All the dimensions of this prism are reduced by 1/3. What is the volume of new prism in cm³?

• 18 cm³
• 36 cm³
• 12 cm³
• 6 cm³

If this circle is dilated by the scale factor of 2, what would be the new area in cm²?

• 48 cm²
• 24 cm²
• 6 cm²
• 36 cm²

Tags

CCSS.7.G.A.1

The volume of a prism is 80 in³.  If each edge is divided by 2 to make a new prism, then the new volume will be _______.

• 80 in³
• 40 in³
• 20 in³
• 10 in³