Question

A toy manufacturer is shipping its newest product, an interactive talking globe, to a major toy store. The packaging for the globe is a rectangular prism that measures 2512 2512 inches high, 18 inches long, and 18 inches wide. The boxes for the globes are packaged into shipping crates that hold 8 globes each. What is the minimum volume of one shipping crate? Explain your answer in the space provided.

Answer 1

6 511 104 in³

Explanation:

Since we have 1 crate and 8 boxes fit into one crate.

So, volume of one crate, V' = 8 × volume of 1 box, V

Since the box is a rectangular prism of sides 2512 inches high, 18 inches long, and 18 inches wide, its volume, V = lwh where l = length of prism, h = height of prism and w = width of prism.

So, V = lwh = 18 in × 18 in × 2512 in = 813 888 in³

So, V' = 8 × 813 888 in³ = 6 511 104 in³

So, the minimum volume of the crate is 6 511 104 in³