Cross Sections Worksheets Grade 7

1. A right rectangular prism has dimensions 21 cm × 15 cm × 25 cm. A slice is made parallel to the base. What is the shape and area of the cross-section?
2. Isabella is creating a large-scale art installation for a science museum. She builds a right rectangular prism structure that is 27 feet long, 12 feet wide, and 7 feet tall. For a special lighting effect, she needs to make a vertical cut through the prism parallel to the end face (the face that is 12 feet by 7 feet). What is the area, in square feet, of the cross-sectional shape created by this cut?
3. A construction company is building a concrete ramp in the shape of a right triangular prism. The ramp's triangular base has a height of 2.5 meters and a base length of 6 meters. If the ramp extends 15 meters in length, what is the total volume of concrete needed for the ramp?

…and 3 more problems

1. Maya is designing a custom aquarium shaped like a right triangular prism for a marine exhibit. The triangular base is a right triangle with legs measuring 12 cm and 16 cm. The aquarium is 150 cm long. If Maya makes a vertical cut through the aquarium parallel to the triangular ends, what is the area of the resulting triangular cross-section in square centimeters?
2. Liam is designing a custom chocolate bar shaped like a right triangular prism. The triangular base has a height of 8 cm and a base length of 6 cm. The chocolate bar is 20 cm long. If Liam cuts the chocolate bar with a plane parallel to its rectangular faces, what is the area of the cross-section that is a rectangle measuring 20 cm by 8 cm?
3. A construction company is building a concrete support beam shaped like a right prism with a trapezoidal base. The trapezoid has parallel sides measuring 2.5 meters and 4.5 meters, with a height of 1.5 meters. The beam is 12 meters long. If workers make a vertical cut perpendicular to the length of the beam, what is the area of the resulting cross-section in square meters?

…and 2 more problems

1. A right rectangular prism has a length of 12 cm, width of 8 cm, and height of 15 cm. If you make a vertical cut parallel to the height, what is the area of the cross-section that results in the largest possible rectangle?
2. A right rectangular prism has dimensions 13 cm by 17 cm by 19 cm. A plane cuts the prism parallel to its base. What is the shape of the cross-section?
3. A right rectangular prism has dimensions 24 cm by 16 cm by 20 cm. A slice is made parallel to the base, cutting through the prism at a height of 12 cm from the base. What is the area of the cross-section?

…and 1 more problems