Question

2. For Exercises 3 and 4, find the volume of each figure. Round to the nearest tenth if necessary. 3. A. 28.9 in C. 57.8 in B. 43.3 in D. 86.7 in 4 in A 3 in. 3. 4. F. 824.8 ft3 H. 412.4 ft I. 28.3 ft G. 530.8 ft 10.7 ft 9.4 ft 8.2 ft 4

Answer 1

EXPLANATION

The first figure is a triangular prism, so the equation that applies to find the volume is

$Volume=\frac{1}{2}\text{bhl}$

In this case, b=3 inches L= 6 2/3 inches = 20/3 inches h= 4 1/3 inches = 13/3 inches.

Replacing terms:

$\text{Volume}=\frac{1}{2}\cdot3\cdot\frac{13}{3}\cdot\frac{20}{3}$

Multiplying the fractions:

$\text{Volume}=\frac{130}{3}=43.3in^3$

The answer is the OPTION B: 43.3 inches^3