Question
The total surface area of a square-based right pyramid
is 1536 m², of which 37.5% is the area of the base of the pyramid. What is the volume (in mᶟ) of this pyramid?Solution
Total surface area = 1536 m² Base area = 37.5% of 1536 = 576 m² Side of bases = √576 = 24 m Lateral surface area = 1536-576 = 960 m² Slant height = 2x24x L= 960 L = 20 m L2=h²+ (24/2)2  400 =h² + + 144 h2 =400-144=256 h = 16 m Volume = 1/3 ×area of base ×h =1/3 ×576×16 =3072m3.
A and B started a business by investing Rs.500 and Rs.600 respectively. After 4 months, A increased his investment by Rs.900. Find the ratio of annual ...
A invested Rs. X in a business. After three months B Joined him with Rs. 4X and A double his investment. If at the end of the years total profit ...
Together, "Arjun" and "Vicky" invested Rs. 12,000 and Rs. 8,000 in a firm. After eight months, "Vicky" added Rs. 2000 to his initial investment, whereas...
R and S began a business with Rs. 2500 and Rs. 5000. After 8 months, T joined with Rs. ‘x’. If the total annual profit was Rs. 2700 and S’s share ...
A, B and C enter into a partnership with a capital in which A’s contribution is Rs. 15,000. If out of a total profit of Rs. 1200, A gets Rs. 400 a...
A invested Rs. X in a scheme. After 6 months, B joined with Rs 4000 more than that of A. After an year, ratio of profit of B to the total profit was 3: ...
P and Q invested Rs.20000 and Rs.15000. After 6 months R joined with Rs.18000. Three months later P withdrew Rs.4000 and Q withdrew Rs.2000. Total yearl...
P and Q together started a business with initial investment in the ratio of 1:7, respectively. The time-period of investment for P and Q is in the ratio...
‘P’ and ‘Q’ started a business with investment of Rs. 3,000 and Rs. 4,200, respectively. After 8 months, ‘P’ increased his investment by Rs....
'A', 'B' and 'C' started a partnership business with capital of Rs. 6000, Rs. 10000 and Rs. 14000 where all three invested for equal time. If the profi...
Relevant for Exams:
