Question

Given the area of a rectangle is length x breadth, what would the total surface area of a box with dimensions 4cm by 8cm by 10cm be in square metres?

Answer 1

Answer:

320square metres

Step-by-step explanation:

Volume=L*B*H=

4*8*10=

Answer 2

Total surface area of box is 304 cm².

Given:

• Area of rectangle is length×breadth.
• A box of dimensions 4 cm×8 cm×10 cm.

To find:

• Find the total surface area of box.

Solution:

Concept/Formula to be used:

• In a cuboidal box there are six faces, six rectangle are present, two with dimensions length×breadth, two with dimensions breadth×height and two with dimensions length×height of cuboidal box.(*See the attachment).
• Total surface area of cuboidal box : 2(lb+bh+hl)

Step 1:

Write the dimensions of all rectangles.

It is clear from the figure that,

2 rectangles have dimensions: 4 cm ×8 cm

2 rectangles have dimensions:4 cm ×10 cm

2 rectangles have dimensions:8 cm ×10 cm

Step 2:

Find the total surface area of box.

Total surface area of box$= 2(4 \times 8 + 4 \times 10 + 8 \times 10)$

$= 2(32 + 40 + 80)$

$= 2(152)$

Total surface area of box$\bf = 304 \: {cm}^{2}$

Thus,

Total surface area of box is 304 cm².

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