Question
A right triangular pyramid XYZB is cut from cube as
shown in figure. The side of cube is 16 cm. X. Y and Z are mid points of the edges of the cube. What is the total surface area (in cm2) of the pyramid?Solution
XB = BY = 8 given that Xy2 = 82 + 82 = xy = 8√2 Xz = yz = 8√2 cm Bare area of pyramid (equilateral D0 Whore side is 8√2 = √3 / 4 × (side)2 = √3 / 4 × 8√2 = √3 / 4 × 64 × 2 = 32√3 cm2 ∠ P = 900 BP = 4√2 Height = 4√2 Bp2 +py2 = By2 (PGT Satisfy height for 3 part in 4√2 Area = 3 × ½ × 8√2 × 4√2 = 96 ISA = 96 + 32√3 cm2
Statements: R ≥ S > T; U < V ≤ T; V > W
Conclusions:
I. R > V
II. W < S
III. T > W
Statements: A @ D % M % N; M $ P $ Q
Conclusions : I. D % Q I...
Statements: Q ≤ R < A; R ≥ N > S; S ≥ T > U
Conclusions:
I. A > N
II. U < N
III. S ≥ Q
Answer the questions based on the information given below.
A @ B means A is not smaller than B
A & B means A is neither smaller than nor...
Which of the following should be placed in the blank spaces respectively ( in the same order from left to right) in order to complete the given express...
Which of the following symbols respectively should replace the question marks in order to make the expression V ≥ M and X ≤ H definitely true?
<...If “M % N # O © P @ S © T $ W” is true then which of the following is definitely not true?
(i) M # P
(ii) O © T
(iii) N #...
Statement: L ≥ M ≤ R = S; M > N ≥ P
Conclusions: I. P ≤ M II. L > N
Statements:
A < B = C; D = E ≤ F ≤ G; E ≤ B
Conclusions:
I). G ≥ C
II). D ≤ B
III). C ≥ D
Statement: T>U<V<X=C>S ;U<P ≥X
I. T < P
II. P > S