Question

Which expression represents the volume of the prism? One-halfx3 (one-half x) cubed Five-halvesx3 (Five-halves x) cubed

Answer 1

1. A- 1/2x^3

2. 168

3. 927

4A. 48

4B. 336

5. A D

6. 1 3 3

7. 12 cm

8. 8 , 4

9. B

10. A C D

Explanation:

Answer 2

Volume = ½x³ units.

Explanation:

From the image, we can deduce the following;

Length = x

Breadth = x

Height = ½x

To find the volume of prism;

Mathematically, the volume of a prism is given by the formula;

Volume of prism = length * breadth * height

Substituting into the formula, we have;

Volume of prism = x * x * ½x

Volume = x² * ½x

Volume = ½x³ units