Calculate the volumes of the figures shown below.All lengths are in centimetres .
scert class 6 page no 67 activity
Answers
Answer:
Volume of Rectangle = length(l) × breadth(b) × height(h)
Step-by-step explanation:
FIGURE 1 : Part A
length(l) = 20cm breadth(b) = 4cm height(h) = 2cm
Volume of A= l×b×h
volume of A= (20× 4 ×2)cm³
Volume of A= 160cm³
Part B
length(l) = 12cm breadth(b) = 8cm height(h) = 2cm
Volume of B= l×b×h
volume of B= (12× 8 ×2)cm³
Volume of B= 192cm³
Part C
length(l) = 4cm breadth(b) = 4cm height(h) = 2cm
Volume of C= l×b×h
volume of C= (4 × 4 × 2)cm³
Volume of C= 32cm³
Part D
length(l) = 8cm breadth(b) = 4cm height(h) = 2cm
Volume of D= l×b×h
volume of D= (8 × 4 × 2)cm³
Volume of D= 64cm³
Now, Total volume of the given figure = volume of (Part A + Part B + Part C +Part D)
Total Volume = (160 + 192 + 32 + 64)cm³
Total Volume = 448cm³
FIGURE 2 : PART A
length(l) = 16cm breadth(b) = 4cm height(h) = 3cm
Volume of A= l×b×h
volume of A= (16× 4 ×3)cm³
Volume of A= 192cm³
Part B
length(l) = 4cm breadth(b) = 4cm height(h) = 3cm
Volume of B= l×b×h
volume of B= (4× 4 ×3)cm³
Volume of B= 48cm³
Part C
length(l) = 16cm breadth(b) = 4cm height(h) = 3cm
Volume of C= l×b×h
volume of C= (16 × 4 × 3)cm³
Volume of C= 192cm³
Now, Total volume of the given figure = volume of (Part A + Part B + Part C)
Total Volume = (192 + 48 + 192)cm³
Total Volume = 432cm³
FIGURE 3 : PART A
length(l) = 16cm breadth(b) = 4cm height(h) = 3cm
Volume of A= l×b×h
volume of A= (16× 4 ×3)cm³
Volume of A= 192cm³
Part B
length(l) = 11cm breadth(b) = 4cm height(h) = 3cm
Volume of B= l×b×h
volume of B= (11× 4 ×3)cm³
Volume of B= 132cm³
Now, Total volume of the given figure = volume of (Part A + Part B)
Total Volume = (192 + 132)cm³
Total Volume = 324cm³