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Find LSA,TSA,VOLUME OF A CUBE WHOSE SIDE IS 40 CM.
(PLZ Give Me CORRECT ANSWER )
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Answers & Comments
Step-by-step explanation:
The LSA (Lateral Surface Area) of a cube whose side is 40 cm is 6400 sq cm. The TSA (Total Surface Area) of a cube whose side is 40 cm is 9600 sq cm. The volume of a cube whose side is 40 cm is 64000 cubic cm.
Answer:
[tex]\sf\:\boxed{\begin{aligned}& \qquad \:\sf \: LSA_{(Cube)} = 6400 \: {cm}^{2} \qquad \: \\ \\& \qquad \:\sf \: TSA_{(Cube)} = 9600 \: {cm}^{2} \\ \\& \qquad \:\sf \: Volume_{(Cube)} = 64000 \: {cm}^{3} \end{aligned}} [/tex]
Step-by-step explanation:
Let assume that side of the cube be denoted as x.
Given that, side of the cube, x = 40 cm.
Now, Lateral surface area of a cube is
[tex]\sf\: LSA_{(Cube)} = {4x}^{2} = 4 {(40)}^{2} = 4 \times 1600 = 6400 \: {cm}^{2} \\ [/tex]
Thus,
[tex]\implies\sf\:\boxed{\sf\: LSA_{(Cube)} = 6400 \: {cm}^{2} \: } \\ [/tex]
Now, Total surface area of a cube is
[tex]\sf\: TSA_{(Cube)} = {6x}^{2} = 6 {(40)}^{2} = 6 \times 1600 = 9600 \: {cm}^{2} \\ [/tex]
Thus,
[tex]\implies\sf\:\boxed{\sf\: TSA_{(Cube)} = 9600 \: {cm}^{2} \: } \\ [/tex]
Now, Volume of a cube is
[tex]\sf\: Volume_{(Cube)} = {(x)}^{3} = {(40)}^{3} = 64000 \: {cm}^{3} \\ [/tex]
Thus,
[tex]\implies\sf\:\boxed{\sf\: Volume_{(Cube)} = 64000 \: {cm}^{3} \: }\\ [/tex]
Hence,
[tex]\implies\sf\:\boxed{\begin{aligned}& \qquad \:\sf \: LSA_{(Cube)} = 6400 \: {cm}^{2} \qquad \: \\ \\& \qquad \:\sf \: TSA_{(Cube)} = 9600 \: {cm}^{2} \\ \\& \qquad \:\sf \: Volume_{(Cube)} = 64000 \: {cm}^{3} \end{aligned}} [/tex]