Question

Each cube in this figure is a -millimeter cube. What is the total volume of the prism?

2 mm 3
6 mm 3
4 mm 3
9 mm 3

Answer 1

D. 9 mm³

Explanation:

Dimension of the prism

= 3 * 4* 6

side of each small cube

= 1/2 mm

In terms of number of small cubes , volume of the prism = 3 *4 * 6= 72

Volume of each unit of cube

= (1/2)³

= 1/ 8 mm³

Volume of the prism

= 72 * 1/8

= 9 mm³

Answer 2

• D. 9 mm³

Explanation:

Given

• Dimension of the prism: 3x4x6
• Side of each small cube: 1/2 mm

Volume of the prism in terms of the number of small cubes:

• 3*4*6 = 72

Volume of each unit cube:

• V = (1/2)³ = 1/8 mm³

Volume of the prism:

• 72*1/8 = 9 mm³

Correct choice is D