Question

Two similar solids are shown below.

What is the volume of the larger solid?

Answer 1

2624 ft3

1312 ft3

5248 ft3

4386 ft3

Answer 2

@lgbasallote

Answer 3

first, do you know what is the ratio of the SIDE of the smaller solid to the larger solid?

Answer 4

is it 2:4

Answer 5

right

Answer 6

the ratio of their volumes will be the cube of that... so what is

2^3 : 4^3 simplified?

Answer 7

\[\huge \Uparrow 2^3 : 4^3\]

Answer 8

1/8

Answer 9

no...do it individually..what is 2^3

Answer 10

8

Answer 11

and what is 4^3

Answer 12

64

Answer 13

good so the ratio of the volumes will be 8 : 64

now use proportionality

the volume of the smaller cube is 328 so...

\[\huge \frac {8}{64} = \frac{328}{x}\]
solve for x

Answer 14

2624

Answer 15

how did you get 328

Answer 16

it's given

Answer 17

nevermind

Answer 18

look at the attachment

Answer 19

lol

Answer 20

i know

Answer 21

do u think u can help me with just one more

Answer 22

sure

Answer 23

great!!

Answer 24

just tag me when you're ready

Answer 25

everything is in the attachment

Answer 26

@lgbasallote

Answer 27

\[\huge LSA = \frac{ps}{2}\]
where p = perimeter of the base
s = slant height

does that help?

Answer 28

kind of

Answer 29

good. try and answer it. then when you have an answer let me check

Answer 30

so i find the lateral area

Answer 31

yes

Answer 32

remember that the base is an equilateral triangle so the perimeter is just 3b

b = base edge

Answer 33

is the answer 72??

Answer 34

how did you get 72?

Answer 35

I am not really sure this question confuses me

Answer 36

okay first...what is the perimeter of the base?

Answer 37

16

Answer 38

remember...the base is an equilateral triangle...so the perimeter is 3 x length of base

Answer 39

the base edge is 4... so what is 3 x 4?

Answer 40

12

Answer 41

right and the slant height is 11 so \[\huge LSA = \frac{(12)(11)}{2}\]
solve that now