Question

Tom cuts a wooden block in the shape shown for a woodworking project.

What is the volume of the block?

Answer 1

600 cm³

Explanation:

The volume of a prism is the product of the area of the base and the length of the prism (distance between parallel bases). It is given by the formula:

V = Bh

__

This triangular prism has a base area that is ...

A = 1/2bh . . . . . formula for area of a triangle with base b and height h

A = 1/2(6 cm)(8 cm) = 24 cm²

Then the prism volume is ...

V = Bh

V = (24 cm²)(25 cm) = 600 cm³

The volume of the block is 600 cubic centimeters.