Math Drills
Volume of Prisms and Cylinders
D-1Word Problems
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What this worksheet covers
- Worksheet
- Volume of Prisms and Cylinders
Finding the ground the base covers and then multiplying by the height carries the whole lesson. The base changes across rectangular prisms and cubes, triangles, trapezoids, rhombuses, and the pentagon of a roof shape joining a triangle to a rectangle, then a hexagon, then a prism whose dented base is found by adding and subtracting, and on to cylinders and half cylinders standing upright and lying down, all as calculation. One word problem about a tank or a can is attached.
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The height used for the base area is the inner dashed line drawn perpendicular to the base, marked with a right angle. In a prism whose base is a parallelogram, that gets missed and the slanted side length, which has no business in the area, is taken into the expression. Trace with a finger which figures on the drawing were picked up.
The ground that had been found as an area now carries the role of a base. Into Volume of Composite Solids, which starts from choosing whether to split or to hollow out, this way of finding a base is carried straight over.
- Word Problems6 questions
Questions & answers
Problems and answers on this worksheet
These are the problems in “Volume of Prisms and Cylinders”, shown with their answers.
(1)There is a tent shaped like a triangular prism whose base is a right triangle, with a base of 8cm, a height of 6cm, and a depth of 10cm. What is the volume of this tent in how many cm³? Answer □
Answer: 240cm³
(2)There is a juice container shaped like a cylinder with a radius of 3cm and a height of 8cm. What is the volume of this container in how many cm³? Answer □
Answer: 226.08cm³
(3)There is a water tank shaped like a rectangular prism that is 15cm deep, 8cm wide, and 20cm in depth. What is the volume of this water tank in how many cm³? Answer □
Answer: 2400cm³
(4)There is a building block shaped like a cube with all edges 8cm. What is the volume of this building block in how many cm³? Answer □
Answer: 512cm³
(5)There is a bucket shaped like a triangular prism whose base is a right triangle, with a base of 12cm, a height of 10cm, and a depth of 20cm. What is the volume of this bucket in how many cm³? Answer □
Answer: 1200cm³
(6)There is a water tank shaped like a rectangular prism that is 18cm deep, 10cm wide, and 25cm in depth. What is the volume of this water tank in how many cm³? Answer □
Answer: 4500cm³
What to do next
More worksheets in this unit
Volume of Prisms and CylindersVolume of Prisms and Cylinders Finding the Volume (Prism ②)
Volume of Prisms and CylindersVolume of Prisms and Cylinders Finding the Volume (Cylinder)
Volume of Composite SolidsVolume of Composite Solids Finding the Volume (Prism − Cylinder and More)
Volume of Composite SolidsVolume of Composite Solids Finding the Volume (2-Tier Cylinders and More)
Volume of Composite SolidsVolume of Composite Solids Word Problems
