Answer:
Volume of pyramid A is twice the volume of pyramid B.
If the height of pyramid B increases to twice that of pyramid A, it's volume will be equal to the volume of pyramid A.
Step-by-step explanation:
Let, the initial height of each pyramids be h metre
Base area of pyramid A =[tex]10 \times 20[/tex] sq. metre
= 200 sq. metre
Base area of pyramid B =[tex](10^{2})[/tex] sq. metre
= 100 sq. metre
we know that volume of a pyramid
= [tex]\frac{base area \times height}{3}[/tex] -------------(1)
So, from (1)
volume of pyramid A = [tex]\frac{200 \times h}{3}[/tex] cubic metre -----(2)
volume of pyramid B = [tex]\frac{100 \times h}{3}[/tex] cubic metre -----(3)
So,
volume of pyramid A is twice the volume of pyramid B.
If the height of pyramid B increases to twice that of pyramid A, it's volume will be equal to the volume of pyramid A.
