Question

A carpenter designs two cabinets: one in the shape of an oblique rectangular prism and one in the shape of a right rectangular prism. The volume of each cabinet is 4,608 cubic inches. The oblique rectangular prism is 48 inches tall and has an edge length of 64 inches. The right rectangular prism has a height of 48 inches. Which statements about the cabinets are true? Check all that apply.
The cabinets have the same base area.
The base area of the oblique prism is smaller than the base area of the right prism.
The cabinets may have the same base dimensions.
The cabinets may have different base dimensions.
The base area of the right prism is smaller than the base area of the oblique prism.

Answer 1

Answer:

The answers are A, C, D. Hope this helps.

Answer 2

Answer:

The volume of each cabinet is 4,608 cubic inches. The oblique rectangular prism is 48 inches tall and has an edge length of 64 inches. The right rectangular prism has a height of 48 inches.

The volume of oblique rectangular prism is given by - base area multiplied by the height.

The volume of right rectangular prism is given by the product of length,width and height.

Both the prisms have two or more values in common so based on this, the statements that are true are :

The cabinets have the same base area  

The cabinets may have the same base dimensions  

The cabinets may have different base dimensions