Find the volume of the solid figure shown below. The area of the base is 40 square inches and the height of the figure is 7 inches

Question

asked Dec 3, 2022 19.4k views

1 Answer

Lawlist · Answer 1 · 2022-12-08T00:02:59+0000

Answer:

$\displaystyle V _{ \text{cuboid}} =280 {in}^(3)$

Explanation:

We are given the area of the base and the measure of the height of a solid figure . We want to find the volume of the figure.

Notice that the area of the base of the figure is not a perfect square. Thus, we assume the solid figure to be a cuboid.

Cuboid is a three dimensional rectangle. The dimensions of cuboid are length, width and height

Remember that

$\displaystyle V _{ \text{cuboid}} = l* w * h$

Since the base area (l×w) is 40in² and height (h) is 7in, simply substitute:

$\displaystyle V _{ \text{cuboid}} =40 * 7$

simplify multiplication:

$\displaystyle V _{ \text{cuboid}} =280$

hence,

The volume of the figure is 280 in³