Question

ht
55. The length / of a cube is measured to be / = 4.0
+ 0.1 m. The volume of the cube will be
(1) 64 + 4.8 m3
(2) 64 +0.3 m
(4). 64 $ 1.6 m3
(3) 64 2.4 m3​

Answer 1

Answer:

Volume of cube is (2) = 64+0.3m^(3)

Answer 2

Correct Question

The length / of a cube is measured to be  4.0 ±0.1 m. The volume of the cube will be

(1) $64 \± 4.8\ m^{3}$

(2) 64 +0.3 m

(4). 64 $ 1.6 m3

(3) 64 2.4 m3​

Answer:

The volume of the cube  will be $64 \± 4.8\ m^{3}$    and option (1) is correct.

Explanation:

Given:

The length  of a cube is measured to be  4.0 ± 0.1 m.

To Find:

The volume of the cube.

Formula Used:

The volume of the cube V $=p^{3}$  ----------- formula no.01.

Where,

p = the length  of a cube

Solution:

As given-the length  of a cube is measured to be  4.0 ± 0.1 m.

p= 4 m.

$\frac{\delta p}{p} =\frac{0.1}{4.0} =0.025$

Applying formula no.01.

The volume of the cube V $=p^{3}$

$\frac{\delta v}{v}= 3\times \frac{\delta p}{p}$

$\frac{\delta v}{v}= 3\times 0.025$

    $=0.075$

The volume of the cube v $=p^{3}$

                                              $=4^{3} \ m^{3} = 64 \ m^{3}$

$\frac{\delta v}{v}= 0.075$

$\delta v= v\times0.075$    

     $\delta v= 64\times 0.075\\ =4.8 \ m^{3}$

The volume of the cube $=64 \± 4.8\ m^{3}$.

Thus, the volume of the cube  will be  $64 \± 4.8\ m^{3}$  and option (1) is correct.

PROJECT CODE#SPJ3