Question

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

Answer 1

@jim_thompson5910

Answer 2

do you know the formulas needed?

Answer 3

no i do not

Answer 4

volume of a cone

\[\Large V = \frac{1}{3}\pi*r^2*h\]

Answer 5

Volume of Rectangular Solid

\[\Large V = L*W*H\]

Answer 6

Volume of Oblique Solid

\[\Large V = A*H\]

A = area of base
H = height of solid

Answer 7

I was thinking it was B and D

Answer 8

what are the volumes of each?

Answer 9

65.45 for the cone

Answer 10

250 for rectangular solid

Answer 11

I'm just realizing they gave you the area of the base of the cone

Answer 12

so

Area of cone = (1/3)*(area of base)*(height)
Area of cone = (1/3)*(5)*(10)
Area of cone = ???

Answer 13

16.6

Answer 14

yeah roughly

Answer 15

okay

Answer 16

`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 = ??

Answer 17

50

Answer 18

so yeah, it is B and D. Both have a volume of 50 cubic cm

Answer 19

for some reason I have "area" on the left side when I meant to say volume

Answer 20

thank you again

Answer 21

no problem