Volume and Surface Area of Prisms
Calculate the volume and surface area of various prisms, including rectangular and triangular prisms, with this Grade 9 math worksheet.
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Volume and Surface Area of Prisms
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Read each question carefully and calculate the volume and surface area for each prism. Show all your work.
1. A rectangular prism has a length of 8 cm, a width of 5 cm, and a height of 10 cm. Calculate its volume and surface area.
Volume:
Surface Area:
2. A box has dimensions of 12 inches by 6 inches by 4 inches. Find its volume and surface area.
Volume:
Surface Area:
3. A triangular prism has a base that is a right triangle with legs of 6 cm and 8 cm. The height of the prism is 10 cm. Find its volume and surface area.
Volume:
Surface Area:
4. An equilateral triangular prism has a base with side lengths of 4 inches and a height of the prism of 15 inches. Find its volume and surface area. (Hint: Find the height of the triangular base first).
Volume:
Surface Area:
5. Which of the following formulas represents the volume of any prism?
V = lwh
V = Bh
V = πr²h
V = (1/3)Bh
6. The surface area of a prism is the sum of the areas of all its:
Vertices
Edges
Faces
Bases
7. The formula for the surface area of a rectangular prism is SA = 2(lw + lh + ).
8. The volume of a prism is calculated by multiplying the area of its base by its .
9. A gift box is in the shape of a rectangular prism with a square base. If the side length of the base is 10 cm and the volume of the box is 1000 cm³, what is the height of the box? Then, calculate the surface area of the box.