Question
What is the capacity, in litres, of a square-based pyramid with a height of 7 cm and side lengths of 8 cm?
0.179 L
0.149 L
0.112 L
0.134 L
0.179 L
0.149 L
0.112 L
0.134 L
Answers
GPT 3.5
To find the capacity of a pyramid, we need to calculate the volume.
The formula for the volume of a pyramid is given by:
Volume = (1/3) * base area * height
First, let's find the base area of the square-based pyramid. Since all sides of the square have a length of 8 cm, the area of the base is:
Base Area = side length * side length = 8 cm * 8 cm = 64 cm^2
Now, let's calculate the volume using the formula above:
Volume = (1/3) * 64 cm^2 * 7 cm = (1/3) * 448 cm^3 ≈ 149.33 cm^3
Since we want the answer in liters, we need to convert cm^3 to liters. There are 1000 cm^3 in 1 liter, so:
149.33 cm^3 ÷ 1000 cm^3/L = 0.149 L
Therefore, the capacity, in liters, of the square-based pyramid is approximately 0.149 L.
The correct answer is 0.149 L.
The formula for the volume of a pyramid is given by:
Volume = (1/3) * base area * height
First, let's find the base area of the square-based pyramid. Since all sides of the square have a length of 8 cm, the area of the base is:
Base Area = side length * side length = 8 cm * 8 cm = 64 cm^2
Now, let's calculate the volume using the formula above:
Volume = (1/3) * 64 cm^2 * 7 cm = (1/3) * 448 cm^3 ≈ 149.33 cm^3
Since we want the answer in liters, we need to convert cm^3 to liters. There are 1000 cm^3 in 1 liter, so:
149.33 cm^3 ÷ 1000 cm^3/L = 0.149 L
Therefore, the capacity, in liters, of the square-based pyramid is approximately 0.149 L.
The correct answer is 0.149 L.