Area of Rectangular Prism Word Problems

Krispy Kritters Cereal used to come in a box with a volume of 2,850 cm³. However, The Krispy Kritters Co. designed a new larger box 22.5 cm wide, 6.2 cm deep, and 30 cm high. How many more cubic centimeters will the new box hold than the old box?

• 1335 cm³

• 4185 cm³

• 2850 cm³

• 7035 cm³

As a birthday gift, Isa received a new monogrammed suitcase to take on the family trip to Ireland. The suitcase is shaped like a rectangular prism. It is 10 inches deep and 20 inches tall. The suitcase contains 2,600 cubic inches of packing space. What is the length?

• 11 inches

• 12 inches

• 13 inches

• 15 inches

A refrigerator measures 3 feet wide, 2.5 feet deep, and 6 feet high. The walls and other parts of the refrigerator take up 20 cubic feet. How many cubic feet are left for food?

• 25 cubic feet

• 45 cubic feet

• 430 cubic feet

• 450 cubic feet

A swimming pool is 20.6 meters long, 8.5 meters long and has a depth of 1.7 meters. What is the volume of the swimming pool?

• 175.1 m³

• 297.67 m³

• 176.8 m³

• 2976.7 m³

A box has a volume of 3,740 cubic inches. The box is 11 inches high and 17 inches wide. The length of the box is

• 2 in

• 8 in

• 20 in

• 30 in

A rectangular prism is cut along a diagonal on each face to create two triangular prisms. The distance between A and B is 5 inches. Description: A rectangular prism with the horizontal side labeled 3 inches, a side length labeled 5 inches and a vertical height of 4 inches. Two vertices on the face of the prism are labeled A and B. Vertex A is located at the bottom left of the face and vertex B is located at the top right of the face. A diagonal is drawn connecting the two vertices. What is the surface area of the original rectangular prism?

Evaluate responses using AI:

OFF

A rectangular prism is cut along a diagonal on each face to create two triangular prisms. The distance between A and B is 5 inches. Description: A rectangular prism with the horizontal side labeled 3 inches, a side length labeled 5 inches and a vertical height of 4 inches. Two vertices on the face of the prism are labeled A and B. Vertex A is located at the bottom left of the face and vertex B is located at the top right of the face. A diagonal is drawn connecting the two vertices. What is the total surface area of the two triangular prisms together?

Evaluate responses using AI:

OFF

If you have a toy bin that is 6 feet long, 4 feet wide, and 3 feet high, how much space do you have for toys?

• 13

• 72

• 84

• 82

If your toy car’s trunk is 8 feet long, 6 feet wide, and 4 feet tall, how much room do you have in your trunk?

• 48

• 190

• 168

• 192

Sam is using this box to pack books.  He needs to know the volume so he can figure out how many books to pack.
Which expression below would Sam use to find the volume of the box?

• 3 + 4 + 5

• 3 + 4 x 5

• 3 x 4 + 5

• 3 x 4 x 5