anonymous
  • anonymous
which two solid figures have the same volume? a. a cone with a base of 5 cm2 and height of 10cm b. a rectangular solid with a base of 5cm2 and height of 10cm c. an oblique solid with a base of 5cm2 and a slant height of 10cm d. an oblique solid with a base of 5cm2 and a height of 10 cm
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
jim_thompson5910
  • jim_thompson5910
do you know the formulas needed?
anonymous
  • anonymous
no i do not

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jim_thompson5910
  • jim_thompson5910
volume of a cone \[\Large V = \frac{1}{3}\pi*r^2*h\]
jim_thompson5910
  • jim_thompson5910
Volume of Rectangular Solid \[\Large V = L*W*H\]
jim_thompson5910
  • jim_thompson5910
Volume of Oblique Solid \[\Large V = A*H\] A = area of base H = height of solid
anonymous
  • anonymous
I was thinking it was B and D
jim_thompson5910
  • jim_thompson5910
what are the volumes of each?
anonymous
  • anonymous
65.45 for the cone
anonymous
  • anonymous
250 for rectangular solid
jim_thompson5910
  • jim_thompson5910
I'm just realizing they gave you the area of the base of the cone
jim_thompson5910
  • jim_thompson5910
so Area of cone = (1/3)*(area of base)*(height) Area of cone = (1/3)*(5)*(10) Area of cone = ???
anonymous
  • anonymous
16.6
jim_thompson5910
  • jim_thompson5910
yeah roughly
anonymous
  • anonymous
okay
jim_thompson5910
  • jim_thompson5910
`b. a rectangular solid with a base of 5cm2 and height of 10cm` area of rectangular solid = (area of base)*(height) area of rectangular solid = (5)*(10) area of rectangular solid = ??
anonymous
  • anonymous
50
jim_thompson5910
  • jim_thompson5910
so yeah, it is B and D. Both have a volume of 50 cubic cm
jim_thompson5910
  • jim_thompson5910
for some reason I have "area" on the left side when I meant to say volume
anonymous
  • anonymous
thank you again
jim_thompson5910
  • jim_thompson5910
no problem

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