B.5
C.30
D.35
The developer will build 30 total number of houses when the total area is acres.
The total space occupied by any object is called as its area.
The area of each house is given as acre
Total land with the developer is given as acre
The number of houses can be calculated as:
Assume the number of houses be x.
The mixed fraction in improper form can be written as:
Multiply both side by 4 to get the value of x
x = 30
Thus, the developer can build 30 plots using acres of land.
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The volume of the given pyramid with a squarebase whose side measures 6 inches and the altitude of the pyramid measures 12 inches is 144 cubic inches. The value is obtained by applying the formula for the volume of the pyramid as .
The volume of the pyramid is given by the formula:
Where,
is the area of the base of the pyramid and
h is the height or altitude of the pyramid
As shown in the diagram,
The pyramid has a squarebase whose side measures 6 inches and the altitude of the pyramid is 12 inches
Thus,
Area of the square base,
⇒
⇒ sq. inches
Height of the pyramid h = 12 inches
On substituting the values in the formula,
⇒ × 36 × 12
⇒ 4 × 36
⇒ 144 cubic inches
Therefore, the volume of the given pyramid is 144 cubic inches.
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Answer:
144 in³
Step-by-step explanation:
The volume of a pyramid of base area A and height h is
V = (1/3)(A)(h).
Here,
V = (1/3)(6 in)²(12 in) = 144 in³