Answer:
Question 1
F
T
T
The volume of figure A can be found by multiplying (5 · 7)(2).
Question 2
T
T
F
The total volume of the figure is 442 mm³
Question 3
T
F
T
The volume of the triangular prism is 108 in³
Step-by-step explanation:
Formula used
Volume of a prism = base area × height
Area of a rectangle = width × length
Area of a triangle = 1/2 × base × height
Volume of a cube = s³ (where s is the side length)
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Question 1
⇒ Volume of Figure A = (5 · 7)(2)
= 70 cm³
⇒ Volume of Figure B = (13 · 7)(2)
= 182 cm³
⇒ Total Volume = Volume of Figure A + Volume of Figure B
= 70 + 182
= 252 cm³
The first statement is false.
Rewritten statement:
The volume of figure A can be found by multiplying (5 · 7)(2).
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Question 2
⇒ Volume of rectangular prism = (15 · 15)(2)
= 450 mm³
⇒ Volume of central cube = 2³
= (2 · 2 · 2)
= 8 mm³
⇒ Total Volume = Volume of rectangular prism - Volume of cube
= 450 - 8
= 442 mm³
The third statement is false.
Rewritten statement:
The total volume of the figure is 442 mm³
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Question 3
⇒ Volume of rectangular prism = (12 · 3)(8)
= 288 in³
⇒ Volume of triangular prism = (1/2 · 12 · 6)(3)
= 108 in³
⇒ Total Volume = Volume of rectangular prism + Volume of triangular prism
= 288 + 108
= 396 in³
The second statement is false.
Rewritten statement:
The volume of the triangular prism is 108 in³
