Volume and Surface Area Questions

• Which one of the following combination of measurements can form the sides of a triangle?
• In a right angled triangle if hypotenuse is 20 cm and ratio of other two sides is 4:3, the length of the sides are
• In triangle ABC, BAC = 90 deg and AD is perpendicular to BC. If AD = 6cm and BD = 4cm, then the length of BC is
• D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:5 and area of ΔADE is 8 sq cm, what is the ratio of area of ΔADE: area of quadrilateral BDEC?
• ABC is a right angled triangle with angle A = 90 deg. Then the value of cos2A+cos2B+cos2C is
• What is the reflection of the point (-3, 1) in the line x = -2?
• The co-ordinates of the centroid of a triangle ABC are (2 , 2). What are the co-ordinates of vertex C if co-ordinates of A and B are (7 , -1) and (1 , 2) respectively?
• If ax - 4y = -6 has a slope of -3/2. What is the value of a?
• D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 1:2 and area of ΔABC is 45 sq cm, what is the area (in sq cm) of quadrilateral BDEC?
• Δ XYZ is right angled at Y. If m∠Z = 30°. What is the length of YZ (in cm), if ZX = 9 cm?
• Triangle ΔXYZ is similar to ΔPQR. If XY:PQ=5:1. If Area of ΔPQR is 5 sq cm, what is the area (in sq cm) of ΔXYZ?
• If the length of a chord of a circle is equal to that of the radius of the circle, then the angle subtended, in radians, at the centre of the circle by chord is
• In ΔABC, ∠B is right angle, D is the mid point of the side AC. If AB = 6 cm, BC = 8cm, then the length of BD is
• AB is a chord of the circle and its center is “O”. ON is perpendicular to AB. If the length of AB=20 cm, ON-(2√11) cm, find the radius (in cm) of the circle.
• The largest chord of the circle has a length of 20.4 cm. The radius of the circle will be _____.
• The area of a semicircle is 1925 cm2. Calculate its perimeter (in cm).
• If the side AB of an equilateral triangle ABC is equal to 12 cm. Calculate the length( in cm) of the AO, if O is the centroid of the triangle.
• The perimeter and the length of one of the diagonals of a rhombus is 34 cm and 8 cm respectively. Find the length of its other diagonal (in cm).
• Find the perimeter (in cm) of a semicircle of radius 14 cm.
• The volume of a cube is 166.375 cm3. Find its side (in cm).