Question

a rectangular prism and a cylinder have equal volumes of 500 cm³. if the prisms height is 10 cm, what is the base area of the prism?
a. 50 cm²
b. 20 cm²
c. 100 cm²
d. 10 cm²

which of the following operations are used in calculating volume?
a. division
b. multiplication
c. addition
d. subtraction

Explanation:

Step1: Recall the volume formula for a rectangular prism

The volume formula for a rectangular prism is \(V = B\times h\), where \(V\) is the volume, \(B\) is the base area, and \(h\) is the height.

Step2: Solve for the base area \(B\)

We know that \(V = 500\space cm^{3}\) and \(h=10\space cm\). Rearranging the formula \(V = B\times h\) to solve for \(B\), we get \(B=\frac{V}{h}\). Substituting the values, \(B = \frac{500}{10}\).

Step3: Calculate the value of \(B\)

\(B = 50\space cm^{2}\)

For the second question:

Step1: Recall volume formulas

The volume of a rectangular prism \(V = l\times w\times h\) (multiplication), the volume of a cylinder \(V=\pi r^{2}h\) (multiplication).

Answer:

For the first question: A. \(50\space cm^{2}\)
For the second question: B. Multiplication