Question

The dimensions of a right rectangular prism are 8/5cm, 10/3 cm, and 7/4cm. What is the volume of the prism? A. 25/12cm3 B. 7/3cm3 C. 16/3cm3 D. 28/3cm3

Answer 1

D. 28/3 cm³

1) Given those dimensions, let's plug them into the following formula for the Volume of a Rectangular Prism, and simplify those fractions

8 and 4 by 4: 2, 1

10 and 5 by 5: 2,1

`\begin{gathered} V=w\cdot l\cdot h \\ V=(8)/(5)\cdot(10)/(3)\cdot(7)/(4) \\ V=(2)/(1)\cdot(2)/(3)\cdot(7)/(1) \\ V=(28)/(3)\approx9.33cm^3 \end{gathered}`

2) Hence the volume of that Prism is 28/3 cm³