List these solids in order from the one with least volume to the one with the greatest volume. a. a cube with edge 5 cm b. a cylinder with radius 4 cm and height 4 cm c. a square pyramid with base edges 6 cm and height 6 cm d. a cone with radius 4 cm and height 9 cm e. a rectangular prism with a 5 cm-by-5 cm base and height 6 cm

The list in order from the one with least volume to the one with the greatest volume is

case C) A square pyramid with base edges 6 cm and height 6 cm

case A) A cube with edge 5 cm

case E) A rectangular prism with a 5 cm-by-5 cm base and height 6 cm

case D) A cone with radius 4 cm and height 9 cm

case B) A cylinder with radius 4 cm and height 4 cm

Step-by-step explanation:

To solve this problem calculate the volume of each solid

case A) A cube with edge 5 cm

The volume of a cube is equal to

where

b is the length side of the cube

substitute the value

case B) A cylinder with radius 4 cm and height 4 cm

The volume of a cylinder is equal to

substitute the value

case C) A square pyramid with base edges 6 cm and height 6 cm

The volume of a pyramid is equal to

where

B is the area of the base

h is the height of the pyramid

Find the area of the base B

----> is a square

substitute the values

case D) A cone with radius 4 cm and height 9 cm

The volume of a cone is equal to

where

B is the area of the base

h is the height of the cone

Find the area of the base B

----> is a circle

substitute the values

case E) A rectangular prism with a 5 cm-by-5 cm base and height 6 cm

The volume of a rectangular prism is equal to

substitute the values

therefore

The list in order from the one with least volume to the one with the greatest volume is

case C) A square pyramid with base edges 6 cm and height 6 cm

case A) A cube with edge 5 cm

case E) A rectangular prism with a 5 cm-by-5 cm base and height 6 cm

case D) A cone with radius 4 cm and height 9 cm

case B) A cylinder with radius 4 cm and height 4 cm

answer: 590

step-by-step explanation: