Jamie is building a box by the pool for the pool toys. They want the box’s volume to be 31.5 cubic feet. The space can hold a box that is 4.5 ft. long and 2.5 ft. wide. How high should the box be in order to meet the volume requirement? Write your answer in decimal form. (The volume of a box is length times width times height.)
Let the height of the box be h.
The formula for volume is V = Length * Width * Height.
Substituting the given values, we get 31.5 = 4.5 * 2.5 * h.
Dividing both sides of the equation by 4.5 * 2.5, we get h = 31.5 / (4.5 * 2.5).
Simplifying the right side of the equation gives h = 31.5 / 11.25.
Therefore, the height of the box should be approximately h = <<2.8=2.8>>2.8 feet. Answer: \boxed{2.8}.
To find the height of the box, we can use the formula for volume:
Volume = length * width * height
Given:
Volume = 31.5 cubic feet
Length = 4.5 ft
Width = 2.5 ft
Substituting the given values into the formula, we have:
31.5 = 4.5 * 2.5 * height
To find the height, we can solve for it by dividing both sides of the equation by (4.5 * 2.5):
height = 31.5 / (4.5 * 2.5)
height = 31.5 / 11.25
height ≈ 2.8 ft
Therefore, the box should be approximately 2.8 feet high to meet the volume requirement.
To find the height of the box, we can rearrange the formula for the volume of a box and solve for the height. The formula is: volume = length × width × height.
Given information:
- Length (L) = 4.5 ft
- Width (W) = 2.5 ft
- Volume (V) = 31.5 cubic feet
We can substitute the given values into the formula: V = L × W × H
31.5 = 4.5 × 2.5 × H
To solve for the height (H), we can divide both sides of the equation by (4.5 × 2.5):
31.5 ÷ (4.5 × 2.5) = H
Calculating this gives us:
H ≈ 2.8 ft
Therefore, the box should be approximately 2.8 feet high to meet the volume requirement of 31.5 cubic feet.