Question

Consider a box with dimensions 3, 4, and 5.
a. Find its surface area.
b. Double each dimension and then find the new surface area.
c. Find the ratio of the new surface area to the original surface area.
d. Repeat parts (a)–(c) for a box with dimensions 6, 9, and 11.
e. Make a Conjecture How does doubling the dimensions of a rectangular prism affect the surface area?

Answer 1

for a, you multiply all 3 dimensions

Answer 2

@ganeshie8 @hartnn @phi

Answer 3

nice activity, start by sketching a rough diagram of box

Answer 4

oh you're still not seeing the diagrams here ?

Answer 5

nope

Answer 6

okay,
box is a prism.
so you need to use prism formula

Answer 7

like that

Answer 8

yes, looks good !
we can use that pic

Answer 9

a. Find its surface area.

Answer 10

use SA formula of prism

Answer 11

\[SA=LA+2B\]

Answer 12

Yes, \(LA = ph\)
first find out perimeter of base \(p\)

Answer 13

looks like you are in good hands

Answer 14

p=(3*4)

Answer 15

thats not perimeter.
remember perimeter is length around base

Answer 16

p = 3 + 4 + 3 + 4

Answer 17

p=2(3+4)
p=14

Answer 18

i always get them mixed up

Answer 19

happens lol,
LA = ph = ?

Answer 20

LA=(14*5)
LA=70