Cross Sections Worksheets Grade 7

1. A right rectangular prism has dimensions 27 cm by 12 cm by 17 cm. Mason makes a slice parallel to the base. What is the area of the cross-section?
2. Mason is building a decorative concrete stepping stone shaped like a right rectangular prism. The stone measures 32 cm in length, 22 cm in width, and 7 cm in height. He wants to create a design by making a horizontal cut parallel to the base, exactly halfway up the height of the prism. What is the area, in square centimeters, of the cross-section created by this cut?
3. 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?

…and 2 more problems

1. A right rectangular prism has dimensions 14 cm by 9 cm by 22 cm. A plane cuts the prism parallel to the base (the 14 cm by 9 cm face). What is the area of the resulting cross-section?
2. Liam is building a rectangular prism-shaped planter box for his garden. The box has a length of 120 cm, a width of 80 cm, and a height of 60 cm. If Liam makes a vertical cut parallel to the end face of the prism, what is the area of the cross-sectional shape he creates?
3. Noah is constructing a large-scale model of a skyscraper for his school's architecture project. The model is shaped like a right rectangular prism with a length of 51 cm, a width of 26 cm, and a height of 91 cm. To study the building's interior layout, Noah makes a vertical cut through the model parallel to the front face (the face with dimensions length and height). What is the area, in square centimeters, of the cross-sectional shape created by this cut?

1. A rectangular prism has a length of 15 cm, width of 8 cm, and height of 12 cm. If you make a vertical cut parallel to the face with dimensions 8 cm by 12 cm, what is the area of the cross-section created by this cut?
2. A right rectangular prism has dimensions 20 cm by 15 cm by 25 cm. A plane cuts the prism parallel to its base. What is the shape and area of the cross-section?
3. A construction company is building a concrete support column in the shape of a right prism with a trapezoidal base. The trapezoid has bases measuring 2.5 meters and 1.5 meters, with a height of 1 meter. The column is 8 meters tall. If workers make a horizontal cut through the column at any height, what is the area of the cross-section they create?

…and 1 more problems