3D Cross Sections Worksheets Grade 6

1. Noah is designing a cylindrical grain silo for his family's farm. The silo has a diameter of 8 meters and a height of 12 meters. If Noah makes a horizontal cut parallel to the circular base at a height of 5 meters from the bottom, what is the area of the circular cross-section he would see? Use π = 3.14 and round your answer to the nearest hundredth.
2. Maria is designing a cylindrical water tank for her school's science project. The tank has a diameter of 1.8 meters and a height of 2.5 meters. If she makes a horizontal cut parallel to the base at a height of 1.2 meters from the bottom, what is the area of the circular cross-section she would see? Use π = 3.14 and round your answer to the nearest hundredth.
3. Maria is designing a triangular prism-shaped container for her art supplies. The triangular base has a height of 8 cm and a base length of 6 cm, and the prism has a length of 15 cm. If Maria makes a vertical cut parallel to the triangular ends, what is the area of the triangular cross-section she creates?

…and 1 more problems

1. A rectangular prism has dimensions of 12 cm by 8 cm by 5 cm. If you make a horizontal cut parallel to the base at a height of 3 cm from the bottom, what is the area of the cross-section you create?
2. (-12 + 8) × (-3) = ?
3. Liam is building a rectangular prism-shaped planter box for his garden that measures 2.4 meters long, 1.2 meters wide, and 0.8 meters high. He wants to fill it with soil, but the soil is sold in bags that each contain 0.25 cubic meters. How many full bags of soil does Liam need to buy to completely fill the planter box?

…and 2 more problems

1. Emma is a chef preparing a special dessert. She has a block of cheese shaped like a rectangular prism that measures 15 inches long, 11 inches wide, and 7 inches tall. For her recipe, she needs to make a horizontal cut through the block at a height of 3 inches from the bottom. What is the area of the rectangular cross-section she creates with this cut?
2. A rectangular prism has dimensions of 12 cm by 8 cm by 5 cm. If you make a horizontal cut through the prism parallel to its base, creating two smaller prisms, and the height of the top prism is 2 cm, what is the volume of the bottom prism in cubic centimeters?
3. (-15) + 28 - (-7) = ?

…and 2 more problems