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 obligue prism.

Respuesta :

Answer:

  • The cabinets have the same base area.
  • The cabinets may have the same base dimensions.
  • The cabinets may have different base dimensions.

Step-by-step explanation:

The volume of a prism is the product of its base area and height. It doesn't matter whether the prism is right or oblique, and the shape of the base is immaterial.

Both the given prisms have the same volume and height, so their base areas must be the same. The dimensions of the base may be the same, but do not have to be the same.

Answer:

1)The cabinets have the same base area.

3)The cabinets may have the same base dimensions.

4)The cabinets may have different base dimensions.

Step-by-step explanation: