Calculate surface area and the volume of a box that is 3m by 2m by 7.5m
if the dimensions are x,y,z then there are 3 pairs of parallel faces. The area is thus
2xy + 2xz + 2yz
Now just plug in your numbers.
To calculate the surface area of a box, you need to find the sum of the areas of all six faces. Each face of a rectangular box is a rectangle itself.
The formula to calculate the surface area of a rectangular box is:
Surface Area = 2 * (Length * Width + Length * Height + Width * Height)
Given that the length (L) is 3m, the width (W) is 2m, and the height (H) is 7.5m, we can substitute these values into the formula:
Surface Area = 2 * (3 * 2 + 3 * 7.5 + 2 * 7.5)
Simplifying the equation further:
Surface Area = 2 * (6 + 22.5 + 15)
Calculating the expression inside the parentheses:
Surface Area = 2 * 43.5
Finally, calculating the multiplication:
Surface Area = 87 square meters
So, the surface area of the box is 87 square meters.
To calculate the volume of a rectangular box, you need the length, width, and height.
The formula to calculate the volume of a rectangular box is:
Volume = Length * Width * Height
Given that the length (L) is 3m, the width (W) is 2m, and the height (H) is 7.5m, we can substitute these values into the formula:
Volume = 3 * 2 * 7.5
Calculating the expression inside the multiplication:
Volume = 6 * 7.5
Calculating the multiplication:
Volume = 45 cubic meters
So, the volume of the box is 45 cubic meters.