If each dimension of a cuboid is increased by 4 times, then the total surface area becomes …………….. times the original area.
A) 4
B) 8
C) 12
D) 16
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Find the volume, the lateral surface area and the total surface area of the cuboid whose dimensions are: (i) length = 12 cm, breadth = 8 cm and height
Correct Answer - (i) `432 cm^(3), 180 cm^(2), 372 cm^(2)` (ii) `2366 m^(3), 520m^(2), 1248 m^(2)` (iii) `45 m^(3), 21 m^(2), 201 m^(2)` (iv) `36m^(3), 291 m^(2), 303 m^(2)`
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The total surface area of solid cylinder is `231 cm^(2)` and its curved surface area is `(2)/(3)` of the total surface area. Find the volume of the cy
Correct Answer - `269.5 cm^(3)`
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The ratio between the curved surface area and the total right circular cylinder is `1 : 2`. Find the volume of the cylinder if its total surface area
Correct Answer - `1078 cm^(3)`
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If 2 is added to each of two given numbers, their ratio becomes 1 : 2. However, if 4 is subtracted from each of the given numbers, the ratio becomes 5
Correct Answer - 34, 70
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Three cubes each of volume 64 cm^3 are joined end to end to form a cuboid. Find the total surface area of the cuboid so formed?
Let l be the side of the cube and L, B, H be the dimensions of the cuboid Since l3 = 64 cm3 ∴ l = 4 cm Total surface area of cuboid is...
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Let \( \vec{a}, \vec{b}, \vec{c} \) be unit vectors such that \( \vec{a}+\vec{b}+\vec{c}=\overrightarrow{0} \). Which one of the following is correct ? [IIT-2007] (a) \( \vec{a} \times \vec{b}=\vec{b} \times \vec{c}=\vec{c} \times \vec{a}=\overrightarrow{0} \) (b) \( \overrightarrow{ a } \times \overrightarrow{ b }=\overrightarrow{ b } \times \overrightarrow{ c }=\overrightarrow{ c } \times \overrightarrow{ a } \neq \overrightarrow{0} \) (c) \( \overrightarrow{ a } \times \overrightarrow{ b }=\overrightarrow{ b } \times \overrightarrow{ c }=\overrightarrow{ a } \times \overrightarrow{ c } \neq \overrightarrow{0} \) (d) \( \vec{a} \times \vec{b}, \vec{b} \times \vec{c}, \vec{c} \times \vec{a} \) are mutually \( \perp \)
Given that \(\vec a, \vec b\) and \(\vec c\)are unit vectors. i.e., |\(\vec a\)| = |\(\vec b\)| = |\(\vec c\)| = 1 And \(\vec a\) + \(\vec b\) + \(\vec c\) = \(\vec 0\) Then \((\vec a+\vec b+\vec c).(\vec a+\vec b+\vec c)=\vec 0.\vec...
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If each dimension of a cuboid is increased by 4 times, then the total surface area becomes …………….. times the original area.
Correct option is (D) 16 Let \(l,b\;and\;h\) are length, breadth and height of the original cuboid. After increasing each dimension of cuboid by 4 times, length of formed cuboid \(=4\,l,\) breadth of formed cuboid = 4b and height of formed...
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How does the total surface area of a box changed if each dimension is doubled?
Correct option is (A) T.S.A. of the box will become 4 times of original area. Let \(l,b\;and\;h\) are parameters of original box. \(\therefore\) \(2l,2b\;and\;2h\) are parameters of new box. \(\therefore\) Total surface area of new box \(=2\,(2l\times2b+2b\times2h+2h\times2l)\) \(=8\,(lb+bh+hl)\) \(=4\times2\,(lb+bh+hl)\) \(=4\times\) Total surface area of original...
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1. The volume of the structure built by Akshra , 2. If Akshra formed a cuboid using all that cubes, then the total surface area of cuboid is
1. B) 405 cm3 2. C) 405 cm2 3. D) 8 4. D) 4 : 9
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