Volume and Surface Area Pre-Assessment

Boxville ISD ordered one-inch cubes for their math classrooms. The model shows the number of one-inch cubes that line the bottom of the box containing the cubes. Seven layers of cubes completely fill the box. Determine the volume of the box. Explain the formula you used and how it relates to the unit cubes.

Tom and Jerry were loading the cargo area of their cartoon truck with cube-shaped cheese blocks. Each cheese block had a side length of one foot. The diagram shows the cargo area of the truck.

a. How many 1-cubic foot cheese blocks will it take to cover the bottom of the cargo area of the truck?

Tom and Jerry were loading the cargo area of their cartoon truck with cube-shaped cheese blocks. Each cheese block was cube-shaped with a side length of one foot. The diagram shows the cargo area of the truck.

b. Based on the diagram, how many layers of 1-cubic foot cheese blocks will it take to fill the cargo area of the truck?

Mr. Valle and Mr. Mott were loading the cargo area of a truck with cube-shaped boxes. Each cube-shaped box had a side length of one foot. The diagram shows the cargo area of the truck.

c. Describe the relationship between the number of 1-cubic foot boxes it will take to cover the bottom of the cargo area of the truck, the number of layers of 1-cubic foot boxes it will take to fill the cargo area of the truck, and the formula for the volume of a rectangular prism.

Tom and Jerry were loading the cargo area of their cartoon truck with cube-shaped cheese blocks. Each cheese block was cube-shaped with a side length of one foot. The diagram shows the cargo area of the truck.

d. Use the formula V=Bh to determine the volume in cubic feet of the cargo area of the truck.

A rectangular prism, similar to SpongeBob's pineapple house, will be filled with small cubes, like the blocks in Minecraft. Some of the cubes are already in the prism, as shown in the model. Based on the model, how many Minecraft blocks will fit in SpongeBob's pineapple house?

In an episode of her favorite cartoon, Zoe sees her favorite character adding six solar panels to the roof of their house in an effort to conserve energy and utilize natural resources. The dimensions of one of the solar panels is shown in the diagram. Write and solve an equation to determine the area of the cartoon house's roof that will now be covered with solar panels.

Frances is a character in a cartoon show who sells shelf brackets in the shape of a right triangle. She cuts the triangles from a large rectangular sheet of plywood and then uses a scroll saw to create designs like the one shown in the cartoon. The large sheet of plywood is 4 feet by 96 inches, just like in her cartoon world.

Can you help the cartoon character Frances determine the number of shelf brackets that can be cut from the large sheet of plywood in her cartoon show?

A cartoon park is in the shape of a hexagon that can be divided into two congruent trapezoids. The cartoon city just passed a bond to replace all of the grass within the cartoon park with a new type of cartoon grass that uses less water. Model how the formula for the area of a trapezoid can be determined. Write and solve an equation to determine the amount of cartoon grass, in square kilometers, that will be replaced.

The dimensions of the inside of a moving truck from 'Pack-N-Go' are shown in the diagram. This truck is used by the famous cartoon character 'Tom' to move his belongings.

Part 1. Determine the volume of the inside of the moving truck.

Part 2. 'Jerry's Moving Company' from the same cartoon series claims to have 20% more moving space in their trucks. What is the volume of Jerry's Moving Company's trucks? Select TWO answers.

• 16.425 cubic meters

• 3.285 cubic meters

• 19.71 cubic meters

• 164.25 cubic meters