9. CBQ - Answer the following

Question:

4 m.

A firm creates gift boxes in the form of cubes. Each box has an edge of $(a+4)$ $cm$. The boxes are made of cardboard, and the capacity of each box is determined using the cube of the edge length.

1. Express the volume of the box using algebraic expression.

$3 (a + 4) {cm}^{3}$
$2 (a + 4) {cm}^{3}$
${(a + 4)}^{3} {cm}^{3}$
${(a + 4)}^{2} {cm}^{2}$

2. Which among the following represent the volume of the cube in polynomial form.

$a^{3} + 12 a^{2} + 64$
$a^{3} + 12 a^{2} + 48 a + 64$
$a^{4} + 12 a^{3} + 48 a^{2} + 64$
$a^{3} + 48 a^{2} + 12 a + 64$

3. If $a = 3$, find the numerical value of volume of the box.

353
358
363
343

4. What is the surface area of the box?

$6 a^{3} + 48 a^{2} + 96 {cm}^{2}$
$6 a^{2} + 48 a + 96 {cm}^{2}$
$6 a^{2} + 96 a + 48 {cm}^{2}$
$6 a^{3} + a + 96 {cm}^{2}$

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