About. 7.5 gallons of water filled up 1 cubic foot of space. How many gallons of water will fill a goldfish pool shaped like the prism shown.
3 ft for length
3.5 ft for width
1.5 ft for height
V - LWH
V = 3 * 3.5 * 1.5
Multiply the total cubic feet by 7.5.
To find the volume of the goldfish pool shaped like a prism, you need to multiply the length, width, and height.
Volume (V) = length × width × height
Given:
Length = 3 ft
Width = 3.5 ft
Height = 1.5 ft
V = 3 ft × 3.5 ft × 1.5 ft
V = 15.75 ft³
Now we need to convert the volume from cubic feet to gallons. We are given that 7.5 gallons of water fill up 1 cubic foot of space.
1 ft³ = 7.5 gallons
So, to find the volume of water needed, you can multiply the volume in cubic feet by the conversion factor:
Volume in gallons = Volume in cubic feet × 7.5 gallons/ft³
Volume in gallons = 15.75 ft³ × 7.5 gallons/ft³
Volume in gallons = 118.125 gallons
Therefore, approximately 118.125 gallons of water will fill the goldfish pool shaped like the given prism.
To find out how many gallons of water will fill the goldfish pool, we need to calculate the volume of the prism first. The volume of a rectangular prism can be calculated using the formula:
Volume = Length x Width x Height
In this case, the dimensions are as follows:
Length = 3 feet
Width = 3.5 feet
Height = 1.5 feet
Now, substitute the given values into the formula to find the volume:
Volume = 3 ft x 3.5 ft x 1.5 ft
Volume = 15.75 cubic feet
Since we know that 7.5 gallons of water fills up 1 cubic foot of space, we can calculate the number of gallons that will fill the goldfish pool by multiplying the volume of the prism by 7.5:
Number of gallons = Volume x 7.5
Number of gallons = 15.75 cubic feet x 7.5 gallons/cubic foot
Number of gallons = 118.125 gallons
Therefore, approximately 118.125 gallons of water will fill the goldfish pool shaped like the prism shown.