Question

What is the volume of a rectangular prism with the dimensions: base 2 3 /8 cm, height 1 1/3 cm, and length 3 3 /4 cm?

Answer 1

Answer: 11.84 cm³

Explanation:

1. Let's rewrite the given dimensions (expressed as mixed numbers) as decimals. Divide the numerator by the denominator of the fractional part and add the result to whole number part. Then:

`2^(3)/(8)cm=(2+0.375)cm=2.375cm\\1^(1)/(3)=(1+0.333)cm=1.333cm\\3^(3)/(4)=(3+0.75)cm=3.75cm`

2. Then, to calculate the volume you must multiply its dimensions. Therefore, you obtain the following result:

`V=2.375cm*3.75cm*1.33cm\\V=11.84cm^(3)`