<u>Solut</u><u>ion</u><u>:</u><u>-</u><u>1</u><u>0</u>
As <AGQ and <EQG are corresponding interior angles
- <AGQ=<PQR=60°
- <BHF=<PRQ=75°
According to angle sum property
Kevin is baking bread for a family function. The initial temperature of the oven is twice the room temperature. He knows that ye
1 answer:
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Given:
Area of side surface of rectangular pyramid = 14.76 cm²
Total surface area = 18 cm²
Let's find the pyramid's altitude and the volume of the pyramid.
To find the altitude, H, let's first find the slant height.
Where:
p is the perimeter of the base
s is the slant height
As is the area of the side surface.
• To find the perimeter of the base, let's find the base area.
Base area = Total surface area - Area of side surface.
Base area = 18 cm² - 14.76 cm² = 3.24 cm²
• Let's find the length of one side of the base:
The length of one side of the base is 1.8 cm.
• To find the perimeter, apply the formula:
Let's plug in 7.2 cm for p, 14.76 for As and solve for the slant height s:
The slant height is 4.1 cm.
To find the altitude, H, apply Pythagorean theorem:
The pyramid's altitude, H = 4 cm.
To find the volume, apply the formula:
Where:
b is the base area = 1.8 x 1.8 = 3.24 cm²
H is the altitude = 4 cm
Thus, we have:
The volume is 4.32 cm³.
ANSWER:
• H = 4 cm
,• V = 4.32 cm³