SURFACE AREAS AND VOLUMES - True/False

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Q 01 / 25
The total surface area of a cube of edge \(a\) is \(6a^{2}\).
Q 02 / 25
The volume of a cube of edge \(a\) is \(6a^{3}\).
Q 03 / 25
The volume of a cuboid of length \(l\), breadth \(b\) and height \(h\) is \(lbh\).
Q 04 / 25
The total surface area of a cuboid is \(2(lb+bh+hl)\).
Q 05 / 25
The curved surface area of a right circular cylinder of radius \(r\) and height hhh is \(2\pi rh\).
Q 06 / 25
The total surface area of a right circular cylinder is \(2\pi rh\) only.
Q 07 / 25
The volume of a right circular cylinder of radius \(r\) and height \(h\) is \(\pi r^{2}h\).
Q 08 / 25
The curved surface area of a right circular cone is \(\pi rl\), where \(l\) is the slant height.
Q 09 / 25
The total surface area of a right circular cone is \(\pi rl\) only.
Q 10 / 25
The volume of a right circular cone of radius \(r\) and height \(h\) is \(\frac{1}{2}\pi r^{2}h\).
Q 11 / 25
The total surface area of a sphere of radius \(r\) is \(4\pi r^{2}\).
Q 12 / 25
The volume of a sphere of radius \(r\) is \(\frac{4}{3}\pi r^{3}\).
Q 13 / 25
The volume of a hemisphere of radius \(r\) is \(\frac{2}{3}\pi r^{3}\).
Q 14 / 25
The curved surface area of a hemisphere of radius \(r\) is \(2\pi r^{2}\).
Q 15 / 25
The total surface area of a closed hemisphere (including its circular base) of radius \(r\) is \(3\pi r^{2}\).
Q 16 / 25
When a solid is melted and recast into another shape without loss of material, its total volume remains unchanged.
Q 17 / 25
If a solid sphere is melted and formed into a cylinder, the volume of the sphere must equal the volume of the cylinder (ignoring wastage).
Q 18 / 25
Surface area is measured in cubic units and volume in square units.
Q 19 / 25
If the radius of a sphere is doubled, its volume becomes four times the original volume.
Q 20 / 25
If the height of a cylinder is tripled while keeping the radius same, its volume is also tripled.
Q 21 / 25
For a right circular cone, the slant height is always less than the vertical height.
Q 22 / 25
For any solid, if every linear dimension is scaled by a factor kkk, then its surface area is multiplied by \(k^{2}\).
Q 23 / 25
For any solid, if every linear dimension is scaled by a factor kkk, then its volume is multiplied by \(k^{3}\).
Q 24 / 25
The capacity of a container (like a tank or bottle) is numerically equal to its surface area.
Q 25 / 25
In real-life questions about painting walls or wrapping objects, the relevant measure is usually surface area, not volume.
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