the lengths of each edge of three soild cubes are 3cm ,4cm .and 5cm .respecrively,a new soild is made by melting theseb threec soild cubes.let us write the length of one edge of the new cube.
Answers
Answer:
Answer:
The volume of the new cube is 216cm³.
The Surface area of new cube is 216 cm².
Step-by-step explanation:
Given :
Volume of 1st cube - (3)² = 27 cm³.
Volume of 2nd cube - (4)³ = 64 cm³.
Volume of 3rd cube - (5)³ = 125 cm³.
To Find :
Volume of the new cube.
Surface area of the new cube.
Solution :
Step 1 :
Find the volume of the cube.
We know that :
Volume of the cube :
$$\bigstar\;\boxed{\textsf{Volume of the cube}\bf=L \times L\times L = L^3}}$$
But, We use this formula :
In the case of cube, L = B = H.
So,
Add the volume of the new Cubes,
⇒ 27 + 64 + 125.
⇒ 216 cm³
∴ Volume of the new Cube = 216 cm³
$$\rule{300}{1.5}$$
Step 2 :
Find the surface area.
Surface area = 6l² ; Hence, l = 6 cm.
⇒ 6(6)²
⇒ 6 × 36
⇒ 216 cm².
∴ The surface area of the new cube = 216 cm².
Step-by-step explanation:
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Answer:
Step-by-step explanation:
Let the volume of 3 cubes be;
Cube 1 = 3cm
Volume = (3)^3 = 27cm^3
Cube 2 = 4cm
Volume = (4)^3 = 64cm^3
Cube 3 = 5cm
Volume = (5)^3 = 125cm^3
Volume of new cube made by melting these 3 cubes;
(27+64+125)cm^3 = 216cm^3
Now to find the length we know that:
a^3 = 216cm^3
a = cube root of 216cm^3
a = 6cm
Therefore, 6cm is the length.