Question

Which rectangular prism will have the largest volume?

l = 4 cm, w = 5 cm, h = 3 cm
h = 3 cm, l = 6 cm, w = 3 cm
w = 6 cm, h = 6 cm, l = 2 cm
w = 3 cm, l = 5 cm, h = 5 cm

Answer 1

The rectangular prism with the largest volume has dimensions of l = 5 cm, w = 3 cm, and h = 5 cm.

Step-by-step explanation:

To find the largest volume of a rectangular prism, we need to calculate the volume of each prism and compare the results. The formula for the volume of a rectangular prism is V = lwh, where l is the length, w is the width, and h is the height.

Let's calculate the volumes:

Prism 1: V = 4 cm × 5 cm × 3 cm = 60 cm³

Prism 2: V = 6 cm × 3 cm × 3 cm = 54 cm³

Prism 3: V = 2 cm × 6 cm × 6 cm = 72 cm³

Prism 4: V = 5 cm × 3 cm × 5 cm = 75 cm³

Therefore, the prism with the largest volume is Prism 4, with a volume of 75 cm³.

Answer 2

Volume = length * width * height

Volume of..
A) 60
B) 54
C) 72
D) 75

Answer..
The answer is D because the volume is the biggest.