Question

In the given figure, all the dimensions are given in cm. The volume of the solid is:

Options

• 7 cm × 13 cm × 20 cm

• (7 + 13) × 20 × 3 cm³

• `1/4 (7 + 13) xx 3 xx 20" cm"^3`

• `1/2 (7 + 13) xx 3 xx 20" cm"^3`

Answer 1

`bb(1/2 (7 + 13) xx 3 xx 20" cm"^3)`

Explanation:

The solid is a prism whose cross-section is a trapezium with parallel sides 7 cm and 13 cm and height 3 cm. The volume of a prism is given by the area of its cross-section multiplied by its length (20 cm), resulting in `1/2 (7 + 13) xx 3 xx 20" cm"^3`.