Find the volume and surface area of a box with the following measurements: - length \( =10 \mathrm{~cm} \) width \( =2.5 \mathrm{~cm} \) - height \( =32 \mathrm{~cm} \) Be sure to draw and label a diagram before you start! Do not type commas or spaces in your answer. Volume \( = \) Surface Area \( = \)

A cylinder with a radius of 4 cm and a height of 9 cm has the same volume as a cone with a radius of 3 cm . What is the height of the cone? A. 12 cm B. 16 cm D. 36 cm D. 48 cm .

WJEC June 2017 Q6 The coordinates of the points \( F \) and \( G \) are \( (8,20) \) and \( (-4,10) \) respectively. (a) Calculate the length of the line FG. Express your answer as a surd in its simplest form, \( n \sqrt{m} \).

Find the equation of the straight line perpendicular to FG that passes through the mid point of \( F G \). Express your answer in the form \( a x+b y+c=0 \), where \( a, b \) and \( c \) are integers. Give your answer in its simplest form.

Se sabe que el foco de una parábola se encuentra en el punto ( \( 57 ; 15 \) ) y que el vértice de la misma se encuentra en el punto ( \( 21 ; 15 \) ). Determinar la ecuación que representa la parábola y en base a ella calcular el valor de la coordenada " \( x \) " de un punto de la curva del que se sabe que su coordenada \( y=37 \).

What is the definition of an inscribed circle in a triangle?