Question

2 points if the volume of the die is 10.08 cubic centimeters, determine the unknown dimension of the die. ?cm 2cm 2.4cm enter your answer in the space provided. your answer

Explanation:

Step1: Recall the volume formula for a rectangular prism (die is a rectangular prism)

The volume \( V \) of a rectangular prism is given by \( V = l \times w \times h \), where \( l \) is length, \( w \) is width, and \( h \) is height. Let the unknown dimension be \( h \). We know \( V = 10.08 \) cubic centimeters, \( l = 2 \) cm, and \( w = 2.4 \) cm. So the formula becomes \( 10.08 = 2 \times 2.4 \times h \).

Step2: Calculate the product of known length and width

First, calculate \( 2 \times 2.4 \). \( 2 \times 2.4 = 4.8 \). So the equation is now \( 10.08 = 4.8 \times h \).

Step3: Solve for \( h \)

To find \( h \), divide both sides of the equation by \( 4.8 \). So \( h=\frac{10.08}{4.8} \). Calculating this division: \( 10.08\div4.8 = 2.1 \).

Answer:

2.1