All MCQs

The inner rectangle measures 46 m by 26 m, with area 1,196 m².
The full area is 1,500 m², so the path area is 304 m².

A vertical line has a constant x-coordinate.
Therefore, x = -3 represents a vertical line.

A horizontal line has a constant y-coordinate.
Therefore, an equation of the form y = constant is horizontal.

Slope is change in y divided by change in x.
Thus, (10 - 2)/(5 - 1) = 8/4 = 2.

Average the x-coordinates and the y-coordinates separately.
The midpoint is ((2 + 8)/2, (3 + 7)/2) = (5, 5).

Distance is √[(3 - 0)² + (4 - 0)²].
This equals √25 = 5.

The edge length is the cube root of the volume.
Since 6³ = 216, the edge is 6 cm.

Sphere volume is 4/3 πr³.
Thus, 4/3 × π × 27 = 36π cm³.

Cone volume is one-third πr²h.
Thus, 1/3 × π × 9 × 12 = 36π cm³.

Curved surface area is 2πrh.
Thus, 2π × 4 × 7 = 56π cm².

Cylinder volume is πr²h.
Thus, π × 9 × 10 = 90π cm³.

Cuboid volume is length × width × height.
Thus, 8 × 5 × 3 = 120 cm³.