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madbiebzz
16.04.2020 •
Mathematics
My answer is 26ft am i correct?
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Ответ:
a.Length of base=4 inches
Length of height=12 inches
b.Area of triangular faces=96 square inches
c.Surface area of pyramid=112 square inches
Step-by-step explanation:
We are given that base of pyramid is square shaped with side 4 inches long
Other faces are isosceles triangles
We are given that ratio of height of each triangle to its base =3:1
a.We have to find the length of base and the height of each triangular face
Length of base=4 inches
Height is 3 times the base
Therefore, length of height=![3\times 4=12 inches](/tpl/images/0135/1783/b66c5.png)
b.There are 4 triangular faces
We know that area of triangle=![\frac{1}{2}\times b\times h](/tpl/images/0135/1783/f522e.png)
Using this formula
Area of one triangular face =
=24 square inches
Area of 4 triangular faces=![4\times 24=96 square inches](/tpl/images/0135/1783/0af97.png)
c. Surface area of pyramid=area of 4 triangular faces+area of square
Surface area of pyramid =![96+4\times 4=96+16=112 square inches](/tpl/images/0135/1783/15cd4.png)