The volume of a cuboid is 3072 cm. If its length is 16 cm and breadth is 14 cm,
find its height. Also, find its total surface area.
Answers
Step-by-step explanation:
given: V = 3072, L = 16 cm, B = 14 cm
to find: height H and TSA
V = L × B × H
=> H = V/(L × B)
=> H = 3072/16 × 14
=> H = 13.7 cm
TSA = 2( LH + BH + LB)
TSA = 2(16*13.7 + 14*13.7 + 16*14)
=> TSA = 2(219.2 + 191.8 + 224)
=> TSA = 1270 cm²
Question:༶•┈┈⛧┈♛
The volume of a cuboid is 3072 cm. If its length is 16 cm and breadth is 14 cm,
find its height. Also, find its total surface area.
Solution:。.。:∞♡*♥
Given;☆♬○♩●♪✧♩
- Volume of Cuboid = 3072cm³
- Length of Cuboid = 16cm
- Breadth of cuboid = 14cm
So, ◒◒
A/Formula;▩▧
Volume of Cuboid = 3072cm³
( l × b × h ) = 3072
16 × 14 × h = 3072
224 × h = 3072
h = 3072 / 224
h = 13.7cm
so, Height = 13.7cm
Then, ⋇⋆✦⋆⋇
T. S. A = 2(lb + bh + hl)
= 2(16×14 + 14×13.7 + 13.7×16)
= 2(224 + 191.8 + 219.2)
= 2(635)
= 1270
so, T. S. A = 1270cm²
Hence,◌◌ we have found;»»————>
- Height = 13.7cm
- Total surface area = 1270cm²
Analysis:▼△▼△▼△▼△
❀❀ There is already the volume, length and breath has given. so, According to formula and question we have to find the height and Total surface area of this cuboid.
Formula to solve this question:▦
- T. S. A = Total Surface Area
- L = Length
- B = Breadth
- H = Height
- Volume of Cuboid = ( l × b × h )
- T. S. A = 2(lb + bh + hl)