Find the volume and the surface area of a “closed box” that has dimensions of 9 in., 10 in., and 1 ft.
To find:
The volume and the surface area of a “closed box” that has dimensions of 9 in., 10 in., and 1 ft.
The volume of any solid is the region of space occupied by it and in general the volume of a solid is given by the product of its base area and altitude.
For a regular solid prism with base area
The lateral area of any solid is the area of all the number of lateral sides that it have, excluding the area of the top and the bottom of the solid.
The lateral area
Here,
Calculation:
Given,
Dimensions of the box is 9 in., 10 in and 1 ft.
Thus, we have
The above three given measures, height of the box is measured by the unit of foot which the other two are measured by the unit of inches.
Thus, it is necessary to convert the measures of height from the unit of foot to inches, for the units need to be uniform.
1 foot
Thus,
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