Linda has two fish tanks in the shape of rectangular prisms. Each of the sides of the second fish tank is 3 times greater than the sides of the first fish tank. If Linda fills both the fish tanks completely with water, the volume of water in the second fish tank will be
Answer
A. 3 times the volume of water in the first fish tank
B. 6 times the volume of water in the first fish tank
C. 27 times the volume of water in the first fish tank
D. 9 times the volume of water in the first fish tank
27....remember is volume 3x3x3
To determine the volume of water in the second fish tank relative to the first fish tank, we need to compare their volumes.
Let's assume the dimensions of the first fish tank are length (L1), width (W1), and height (H1). Therefore, the volume of the first fish tank can be calculated by multiplying these dimensions: Volume1 = L1 * W1 * H1.
According to the problem, the second fish tank has sides that are 3 times greater than the first fish tank. Therefore, the dimensions of the second fish tank are length (L2) = 3 * L1, width (W2) = 3 * W1, and height (H2) = 3 * H1.
The volume of the second fish tank can be calculated by multiplying these dimensions as well: Volume2 = L2 * W2 * H2 = (3 * L1) * (3 * W1) * (3 * H1) = 27 * (L1 * W1 * H1) = 27 * Volume1.
Comparing Volume2 to Volume1, we can see that Volume2 is 27 times greater than Volume1. Therefore, the correct answer is:
C. 27 times the volume of water in the first fish tank.