Question

Jeremy is given the choice between two chocolates, X and Y. Which one should he choose to get the most chocolate possible, and how much more chocolate does he get by picking the larger one?

Two pyramids. The rectangular pyramid has base 5 centimeters by 6 centimeters and height 10 centimeters. The triangular pyramid also has height 10 centimeters. The triangular base is 7.5 centimeters across the bottom and 8 centimeters tall.

A. It does not matter. The volumes of X and Y are equivalent.
B. He should choose Y, since he will get twice as much chocolate.
C. He should choose X, since he will get twice as much chocolate.
D. He should choose X, since he will get 10 times as much chocolate.

Answer 1

A. It does not matter. The volumes of X and Y are equivalent.

Explanation:

Answer 2

A. It does not matter. The volumes of X and Y are equivalent.

Explanation:

Volume of the pyramid = Base area × Height

For rectangular pyramid X:

Given Height of pyramid = 10cm

Base area = Length × Breadth

Base Area = 6cm×5cm = 30cm²

Volume = 10×30

Volume of the pyramid = 300cm²

For pyramid Y:

Given Height = 10cm

Base area = 1/2 base×height

Base area ,= 1/2 × 7.5×8

Base area = 30cm²

Volume of the triangular pyramid = 10×30 = 300cm³

We can see that the volume of X and Y is the same, therefore the type of chocolate Jeremy chose doesn't matter.