Problem Solving
The area of the base of a pentagonal prism is 144 cubic centimeters. If the height of the prism is 14 cm, what is the volume of the pentagonal prism?
2016 cubic centimeters
If the volume of a cube is 216 cm3, which best describes the length of the side of the cube?
a. 4 cm b. 5 cm c. 6 cm d. 8 cm
216 cm
Which of the following shapes describes the 2D figure formed by slicing perpendicular to the base of a triangular prism?
square, rectangle, triangle, or trapezoid
rectangle
What is the formula for rectangular prisms
What is V = Bh?
In the formula V=Bh, how do you find the "B" of the triangle?
Base of the triangle times its height divided by 2
A classroom aquarium has dimensions of 16 inches, 12 inches and 10 inches. If the aquarium is 2/3 of the way filled with water, how much water is in the aquarium?
1280 cubic inches
A triangular prism has a base area of 125 square inches. If the volume of the triangular prism is 750 cubic inches, how high is the prism?
6 inches high
If a rectangular pyramid is sliced perpendicular from its apex to its base, which 2D shape would be formed?
triangle
What is the volume of a fish tank with a L= 10 feet , W= 12 feet, H=3 feet?
360 cubic feet
A triangular prism has a triangle with a base of 8mm and height of 12mm. The prism is 18mm long. What is the volume of the triangular prism?
864 cubic mm
A toy manufacturer is packaging Rubik's cubes in carboard boxes to be distributed to its stores. If the Rubik's cubes have edges of 3 inches, what would the volume of the box need to be to contain 64 Rubik's cubes?
1,728 cubic inches
A rectangular prism has a volume of 9,408 cubic inches. If the height of the prism is 24 inches and the length is 28 inches, what is the width of the rectangular prism?
14 inches
Which of the following shape would be formed by slicing a sphere either perpendicular or parallel to its base?
circle
What is the volume of a cereal box with dimensions of 12 units, 10 units, and 3 units?
360 cubic units
A cake is built in the shape of a triangular prism. The cake is 24 inches tall and has a 12 by 8 triangle as its base. What is the volume of the cake?
1152 cubic inches
A storage shed is built in the shape of a triangular prism. The base of the triangle is 8 feet long and the height is 7 feet. If the shed is 6 feet wide, what is the volume of the storage shed?
168 cubic feet
The volume of a cylinder is found by multiplying the area of the circular base times its height. If the area of the base of a cylinder is 475 square meters and the total volume is 4037.5 cubic meters, how high is the cylinder?
8.5 meters
List the three shapes that can be formed by slicing a cylinder vertically, horizontally, and diagonally.
rectangle, circle, and oval
A toolbox has the dimensions of 16, 14, and 8 inches. What is the volume of the toolbox?
1792 cubic inches
A triangular prism has a volume of 240 cubic meters. The area of the base is 16 square meters. What is the height of the triangular prism?
15 meters
A layered birthday cake has two rectangular prism layers. The base layer measures 10 inches by 8 inches. The second layer is 9 inches by 7 inches. Both of the layers are 6 inches tall. If a standard size serving of cake is 11 cubic inches, how many people can the cake serve?
78 people
If a rectangular prism has a volume of 4032 cubic cm. with a length of 24 cm. and a width that is 1/3 the length, what is the height of the rectangular prism?
21 cm.
What two shapes can be formed by slicing a rectangular pyramid perpendicular to its base?
triangle and ______________
trapezoid
A carpenter is making a book shelf in the shape of a rectangular prism. The length is 24 inches, the width is 0.25L inches, and the height is 42 inches. What is the volume
6048 cubic inches
A baker is making a huge cake for an awards banquet. The cake is made up of two layers that are both triangular prisms. The bottom layer has a base triangle of 16 inches by 14 inches and the top layer's base is a triangle with dimensions of 8 and 7. If both layers are 8 inches tall, what is the total volume of the cake?
1,120 cubic inches