MATH SOLVE

4 months ago

Q:
# The oblique pyramid has a square base with an edge length of 5 cm. The height of the pyramid is 7 cm. What is the volume of the pyramid?11 cm343 cm358 cm387 cm3

Accepted Solution

A:

Answer: The volume of the oblique pyramid=58.333...≈58[tex]cm^3[/tex](by round off to the nearest ones)

Step-by-step explanation:Volume of a rectangular pyramid = base area × height of the pyramidNow, the given oblique pyramid has a square base with an edge length of 5 cm has area = edge×edge=5×5=25 [tex]cm^2[/tex]height of the given pyramid=7 cm∴Volume of the given pyramid= [tex]\frac{1}{3}[/tex]base area × height of the pyramid= [tex]\frac{1}{3}25\times7[/tex]=[tex]\frac{1}{3}175[/tex]=58.333....≈58[tex]cm^3[/tex]Therefore option C is correct .

Step-by-step explanation:Volume of a rectangular pyramid = base area × height of the pyramidNow, the given oblique pyramid has a square base with an edge length of 5 cm has area = edge×edge=5×5=25 [tex]cm^2[/tex]height of the given pyramid=7 cm∴Volume of the given pyramid= [tex]\frac{1}{3}[/tex]base area × height of the pyramid= [tex]\frac{1}{3}25\times7[/tex]=[tex]\frac{1}{3}175[/tex]=58.333....≈58[tex]cm^3[/tex]Therefore option C is correct .