Question

A triangular box of sticky notes is shown. Find the volume of the box. 3.5 5.2 6

Answer 1

Volume = base * width * height = 3.5 * 5.2 * 6 =

109.2 cubed units


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Answer 2

The area of a triangle is half the product of the base of the triangle and the height of the triangle. The volume of the triangular box is 54.6 in³.

What is the Area of a triangle?

The area of a right-angle triangle is half the product of the base of the triangle and the height of the triangle.

$\rm{ Area \triangle = \dfrac{1}{2} \times base \times height$

As it is given that the length of the altitude of the triangle and the base of the triangle is 3.5 inches and 5.2 inches respectively. While the height of the box is 6 inches. Therefore, the volume of the triangular box can be written as,

$\rm \text{Volume of the triangular box} = \text{(Area of triangle)} \times Height$

                                               $=(\dfrac 12 \times 3.5 \times 5.2) \times 6\\\\= 54.6\rm\ in^3$

Thus, the volume of the triangular box is 54.6 in³.

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