Eddie is considering two boxes. One has a volume of 12ft and the other has a volume of 14ft. Which box should Eddie use to ship an item that has a volume of 12.5ft.
The formula for the volume of a cube is V = s³, where s is the length of one edge.
Substituting s = 2.5 ft., we get:
V = (2.5 ft.)³ = 2.5 ft. × 2.5 ft. × 2.5 ft. = 15.625 ft.³
Therefore, the volume of a cube with an edge length of 2.5 ft. is 15.625 ft.³.
Eddie should use the box with a volume of 14ft to ship the item with a volume of 12.5ft as it will fit comfortably in the larger box without any issues.
Shriya should consider refrigerators that have a volume between 20 ft.3 and 26 ft.3.
The formula for the volume of a rectangular prism is V = lwh, where l is the length, w is the width, and h is the height of the prism.
Substituting l = 2 cm, w = 10 cm, and V = 75 cm³, we get:
75 cm³ = 2 cm × 10 cm × h
Simplifying the right-hand side, we get:
75 cm³ = 20 cm² × h
Dividing both sides by 20 cm², we get:
h = 75 cm³ ÷ 20 cm² = 3.75 cm
Therefore, the height of the rectangular prism is 3.75 cm.
The formula for the volume of a right rectangular prism is V = lwh, where l is the length, w is the width, and h is the height of the prism.
Substituting l = 1.5 meters, w = 0.7 meters, and h = 4 meters, we get:
V = 1.5 meters × 0.7 meters × 4 meters = 4.2 cubic meters
Therefore, the volume of the rectangular prism is 4.2 cubic meters.
Shriya’s current refrigerator has a volume of 20 ft.3. The space she has for the refrigerator is 26 ft.3. Shriya decides to buy a new refrigerator. What sizes of refrigerators should she consider?(1 point)
She should consider refrigerators that are between __ ft.3 and __ft.3.
What is the volume of a cube with an edge length of 2.5 ft.? Use the formula for the volume of a cube.(1 point)
___ ft.3