Question

The length of a pyramid is 10cm, the width is 4cm, and the height is 6cm. What is the volume of this pyramid?

a) 40 cm³
b) 80 cm³
c) 120 cm³
d) 240 cm³

Answer 1

The volume of the pyramid is found using the formula V = (1/3) × length × width × height. By plugging in the given measurements and performing the calculations, we determine that the volume of the pyramid is 80 cm³.

Step-by-step explanation:

The question asks us to calculate the volume of a pyramid with given length, width, and height dimensions. The formula to find the volume of a pyramid is V = (1/3) × length × width × height. In this case, we substitute the given values into the formula: V = (1/3) × 10 cm × 4 cm × 6 cm.

Calculating the volume:

1. Multiply the dimensions of the base: 10 cm × 4 cm = 40 cm² (base area).
2. Multiply the base area by the height: 40 cm² × 6 cm = 240 cm³.
3. Divide by 3 to find the pyramid's volume: 240 cm³ ÷ 3 = 80 cm³.

So, the correct answer is (b) 80 cm³.