Question

A card board box has a volume of 60 cubic feet give four different set of measurements that could be the dimension of the box

Answer 1

Give four different set of measurements that could be the dimension of the box are:

(l, w, h) = (2 , 15 , 2) feet and (2, 6, 5) feet and (2, 10, 3) feet and (3, 5, 4) feet

Solution:

Given that,

A card board box has a volume of 60 cubic feet

Cardboard box is of shape rectangular prism

The volume of rectangular prism is given as:

$\text{Volume of rectangular prism } = l \times w \times h$

Where,

l is the length

w is the width

h is the height

From given,

v = 60 cubic feet

$60 = l \times w \times h$

Give four different set of measurements that could be the dimension of the box:

Put l = 2 ; w = 15 ; h = 2

Then,

60 = 2 x 15 x 2

60 = 60

Put l = 2 ; w = 6 ; h = 5

60 = 2 x 6 x 5

60 = 60

Put l = 2 ; w = 10 ; h = 3

60 = 2 x 10 x 3

60 = 60

Put l = 3 ; w = 5 ; h = 4

60 = 3 x 5 x 4

60 = 60

Thus, give four different set of measurements that could be the dimension of the box are:

(l, w, h) = (2 , 15 , 2) feet and (2, 6, 5) feet and (2, 10, 3) feet and (3, 5, 4) feet