Answer:
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Answer:
289in²
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a square based pyramid
Given data
Volume v= 2023 in³
Height h= 21 in
The expression for the volume of a square based pyramid is
V= a²*(h/3)
Let us solve for a which is the side of the square base
2023= a²*(21/3)
2023= a²*7
a²= 2023/7
a²= 289 (this is the area )
a= √289
a= 17in
Proof
Hence the area of the square base is
Area = a*a= 17*17= 289in²
The area for both of the shapes is base times height. to find the height of the rectangle you need to divide the area by 9. 38.25/9=4.25 the height of the rectangle is 4.25. to find the base of the <span>parallelogram you need divide the area by 7.4. 44.4/7.4=6 the length of the base for the </span><span>parallelogram is 6.</span>
Volume of Pyramid = (Base Area x Height)/3
Height = 15 mm (given)
Apothem = 7 mm (given)
Side = 12 mm (given)
Let's calculate the base area (or the pentagone area)
Base Area = (perimeter x apothem)/2. Perimeter = 5 sides x 12 = 60 mm
Base Area = (60 x 7)/2 = 210 mm²
Volume = (210 x 15)/3 = 1050 mm³
Answer:1)vertice 2) interesecting
Step-by-step explanation: