Question

For her presentation on the Wonders of the World, Mary baked a square pyramid-shaped cake as pictured below. The slant height of the cake is 10 inches. Each edge of the square-shaped base is 8 inches. Find the volume of Mary's cake. Round your answer to the nearest cubic inch.

Answer 1

Answer:

volume = 195.52 in³

Step-by-step explanation:

given data

slant height of the cake = 10 inches

base length =  8 inches

solution

we know that volume pyramid is express as

volume = $\frac{A^2\times h}{3}$    ..............1

here

we use pythagoras for height

hypotenuse² = side1² + side2²    

put here value with other side is half of a square side

10² = h² + 4²

solve it we get

h = 9.165 in

so put here value in equation 1 we get

volume = $\frac{8^2\times 9.165}{3}$  

volume = 195.52 in³