Answer:
- The area of the base of the pyramid, B, is 24 cm
- A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 times volume of this pyramid.
Step-by-step explanation:
Volume of a rectangular based pyramid = 1/3{Base area × Height}
Base Area = Length × Breadth
Volume = 1/3{(Length × Breadth) × Height}
Given a rectangular pyramid with a height of 9 centimeters and a base with the dimensions of 4
centimeters by 6 centimeters
Base Area = 4cm × 6cm
Base area = 24cm²
If Height =9cm
Volume of the pyramid = 1/3 × 24 × 9
Volume = 24 × 3
Volume of the pyramid = 72cm³
If the shape is a prism, the volume will be base area × height
= 24 × 9
= 216cm³
It can be seen that volume of rectangular prism = 3 × volume of rectangular pyramid.
Question not well presented and diagram is missing
Quadrilateral WILD is inscribed in circle O.
WI is a diameter of circle O.
What is the measure of angle D?
See attached for diagram
Answer:
Step-by-step explanation:
Summation of opposite angles of a quadrilateral inscribed in a circle is 180°, given that the vertices are on the circle.
Given
<WIL = 45°
<ILD = 109°
In the attached;
<WIL + <WDL = 180° (Opposite angle of quadrilateral)
Substitute 45° for <WIL in the above expression
45° + <WDL = 180° ---- Collect like terms
<WDL = 180° - 45°
<WDL = 135°
Hence, the measure of angle D is 135° (See attached)
Answer:
2/3
Step-by-step explanation:
The slope is rise over run so all you have to do is make a triangle from the two points, count how many go up, which is 2, and how many go to the side, which is 3. The rise (2) goes on the top of the fraction, the run (3) goes on the bottom and then that's your answer.
