Question

Find the volume of the prism. 3 in. 4 in. 2 in V = [?] in. Write your answer as a whole number that is simplified completely. Enter the number that goes in the green box

Answer 1

Given

Length 2 4/5

Width 4 1/2

Height 3 1/3

V = bh

base = length

h = height

V = 2 4/5 × 3 1/3

Convert into improper fractions

2 4/5 = 5 × 2 = 10 + 4 = 14 or 14 / 5 (keeping the denminator the same)

3 1/3 = 3 × 3 = 9 + 1 = 10 or 10 / 3

Multply

14 × 10 = 140

5 × 3 = 15

Simplify by dividing the numerator and the denminator by a common factor

140 ÷ 5 = 28

15 ÷ 5 = 3

Now convert the improper fraction into a mixed number

28 / 3 = 9 1 / 3 (mixed number)

V = 9 1/3