A restaurant has 2 tables of dimensions x m by x m, 8 tables of dimensions x m by 1 m and 6 tables o dimensions 1 m by 1 m. All tables are of equal height a. Find the area of the table tops in terms of x b. If the tables are placed together to form a large rectangular table, find the dimensions of the table formed. c. Illustrate the arrengement of the tables in (b) by a diagram (draw a clear picture in details).
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Answer:
Given that, the total surface area of a cubical box is 486 cm
2
To find out: Volume of the box.
Let a be the side of the cubical box.
We know that the total surface area of a cuboid is 6a
2
∴ 6a
2
=486
⇒a
2
=
6
486
⇒a
2
=81
∴ a=9 cm
We also know that, the volume of a cuboid is a
3
∴ Volume of the box =9
3
⇒729 cm
3
Hence, the volume of the given cuboidal box is 729 cm
3
.
Step-by-step explanation:
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