Answer:
84 cm³
Step-by-step explanation:
The volume of a pyramid is given by the formula ...
V = 1/3Bh
where B is the area of the base.
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The base is shown as a right triangle with legs 8 cm and 7 cm. Its area is given by the triangle formula ...
A = 1/2bh
A = 1/2(8 cm)(7 cm) = 28 cm²
Then the volume of the triangular pyramid is ...
V = 1/3(28 cm²)(9 cm) = 84 cm³
Answer:
the surface area of the rectangle is 40
the surface area of the triangles is 6
the base rectangle is 24
Step-by-step explanation:
Answer:
√55
Step-by-step explanation:
Notice that the small triangle in the bottom corner shares an angle with the overall triangle. Also, they are both right triangles. Therefore, they are similar triangles.
Notice that the large triangle at the top shares an angle with the overall triangle and is also a right triangle. Therefore it is also similar to the overall triangle and the smaller triangle.
Writing a proportion between the small and large triangles:
y / 11 = 5 / y
y² = 55
y = √55
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