To find the volume of a rectangular prism with dimensions 3 cm, 6 cm, and 3 cm, you multiply the length, width, and height together. The volume is calculated as ( V = \text{length} \times \text{width} \times \text{height} = 3 , \text{cm} \times 6 , \text{cm} \times 3 , \text{cm} = 54 , \text{cm}^3 ). Thus, the volume is 54 cubic centimeters.
To find the density of the block of lead, first calculate its volume using the formula ( \text{Volume} = \text{length} \times \text{width} \times \text{height} ). For the given dimensions, the volume is ( 4.50 , \text{cm} \times 5.20 , \text{cm} \times 6.00 , \text{cm} = 140.4 , \text{cm}^3 ). The density of lead is approximately ( 11.34 , \text{g/cm}^3 ), so the mass of the block can be found by multiplying the volume by the density, resulting in a mass of about ( 1583.9 , \text{g} ). Thus, the density remains ( 11.34 , \text{g/cm}^3 ).
The volume of a prism can be calculated using the formula ( V = \text{base area} \times \text{height} ). For a rectangular prism with width, length, and height of 6 cm, the base area is ( 6 , \text{cm} \times 6 , \text{cm} = 36 , \text{cm}^2 ). Therefore, the volume is ( 36 , \text{cm}^2 \times 6 , \text{cm} = 216 , \text{cm}^3 ).
To find the length of the third side of the triangle, subtract the lengths of the two known sides from the perimeter. The equation would be: ( 24 \text{ cm} - (10 \text{ cm} + 10 \text{ cm}) = 24 \text{ cm} - 20 \text{ cm} = 4 \text{ cm} ). Therefore, the length of the third side is 4 cm.
The volume ( V ) of a box can be calculated using the formula ( V = \text{length} \times \text{width} \times \text{height} ). For a box measuring 5 cm x 20 cm x 5 cm, the volume is ( V = 5 , \text{cm} \times 20 , \text{cm} \times 5 , \text{cm} = 500 , \text{cm}^3 ). Therefore, the volume of the box is 500 cubic centimeters.
The area of a trapezoid can be calculated using the formula: ( \text{Area} = \frac{1}{2} \times (b_1 + b_2) \times h ), where ( b_1 ) and ( b_2 ) are the lengths of the bases, and ( h ) is the height. For this trapezoid, the area is ( \frac{1}{2} \times (7 , \text{cm} + 5 , \text{cm}) \times 3 , \text{cm} = \frac{1}{2} \times 12 , \text{cm} \times 3 , \text{cm} = 18 , \text{cm}^2 ). Thus, the area of the trapezoid is 18 cm².
To find the volume of a rectangular prism, you multiply its length, width, and height. For dimensions of 10 cm, 10 cm, and 14 cm, the volume is calculated as follows: ( V = 10 , \text{cm} \times 10 , \text{cm} \times 14 , \text{cm} = 1400 , \text{cm}^3 ). Thus, the volume is 1400 cubic centimeters.
To find the volume of a rectangular prism with dimensions 50 cm, 25 cm, and 16 cm, you multiply the three dimensions together. The volume is calculated as follows: ( 50 , \text{cm} \times 25 , \text{cm} \times 16 , \text{cm} = 20,000 , \text{cm}^3 ). Therefore, the volume of the prism is 20,000 cubic centimeters.
The volume of a cube can be calculated using the formula ( V = \text{length} \times \text{width} \times \text{height} ). For a cube measuring 10 cm on each side, the volume is ( 10 , \text{cm} \times 10 , \text{cm} \times 10 , \text{cm} = 1000 , \text{cm}^3 ). Since 1 cm³ is equivalent to 1 milliliter, the volume is also 1000 milliliters, or 1 liter.
To find the volume of a box, you multiply its length, width, and height. For a box with sides measuring 10 cm, 10 cm, and 30 cm, the volume is calculated as (10 , \text{cm} \times 10 , \text{cm} \times 30 , \text{cm} = 3000 , \text{cm}^3). Therefore, the volume of the box is 3000 cubic centimeters.
The speed of the ball is ( \frac{120 \text{ cm}}{15 \text{ sec}} = 8 \text{ cm/sec} )
To find the volume of a rectangular prism, you multiply its length, width, and height. For dimensions 16 cm, 17 cm, and 5 cm, the volume is calculated as follows: ( 16 , \text{cm} \times 17 , \text{cm} \times 5 , \text{cm} = 1360 , \text{cm}^3 ). Therefore, the volume is 1360 cubic centimeters.