Calculate the volume of each of the figures below.

Question

ScanSolve AI Tutor · Accepted Answer

Let's calculate the volume of the first figure, part (a).

Identify the dimensions of the triangular base.
The base of the triangle is $3 \text{ cm}$ and its height is $4 \text{ cm}$ .
Calculate the area of the triangular base.
The formula for the area of a triangle is $\frac{1}{2} \times \text{base} \times \text{height}$ .
$\text{Area of base} = \frac{1}{2} \times 3 \text{ cm} \times 4 \text{ cm} = \frac{1}{2} \times 12 \text{ cm}^2 = 6 \text{ cm}^2$
Calculate the volume of the prism.
The formula for the volume of a prism is $\text{Area of base} \times \text{length of prism}$ . The length of the prism is $10 \text{ cm}$ .
$\text{Volume} = 6 \text{ cm}^2 \times 10 \text{ cm} = 60 \text{ cm}^3$
The volume of the figure in (a) is $\text{60 cm}^3$ .

Answer