Question

a rectangular prism has dimensions 10 cm × 4 cm × 5 cm. what is its volume?
a. 40 cm³
b. 20 cm³
c. 200 cm³
d. 100 cm³
the formula for the volume of a right rectangular prism is:
a. v = 2πr h
b. v = \frac{4}{3}πr³
c. v = l × w × h
d. v = 2πr h

Explanation:

Step1: Recall the volume formula

The volume formula for a right - rectangular prism is \(V = l\times w\times h\) (where \(l\) is length, \(w\) is width, and \(h\) is height).

Step2: Substitute the given values

Given \(l = 10\mathrm{cm}\), \(w = 4\mathrm{cm}\), \(h = 5\mathrm{cm}\). Then \(V=10\times4\times5\).
First, calculate \(10\times4 = 40\). Then \(40\times5=200\).

Answer:

For the volume of the prism: C. \(200\mathrm{cm}^3\)
For the formula: C. \(V = l\times w\times h\)