Answer:
Step-by-step explanation:
A). Volume of a rectangular prism = Length × Width × Height
= lwh
1). Volume of a rectangular prism if the measures of the sides are,
Length (l) = 9 cm
Width (w) = 4 cm
Height (h) = 3 cm
Therefore, volume = lwh
= 9 × 4 × 3
= 108 cm³
2). Length = 10 cm
Width = 7 cm
Height = 15 cm
Volume = lwh
= 10 × 7 × 15
= 1050 cm³
3). Length = 14 cm
Width = 10 cm
Height = 9 cm
Volume = 14 × 10 × 9
= 1260 cm³
B. Volume of a cube = (Side)³
4). If the measure of one side = 12 cm
Volume of the cube = (12)³
= 1728 cm³
5). If the measure of one side = 6 cm
Volume of the cube = (6)³
= 216 cm³
Answer:
1/3
Step-by-step explanation:
simplify
81^(-1/4)
= 1/81^(1/4)
= 1/[3×3×3×3]^(1/4). (factorize 81)
= 1/[3]^(4/4)
= 1/3
The sides are in the ratio 1 : 1 : sqrt2 where sqrt 2 = hypotenuse
so if the length of one of the legs is 2 cm the hypotenuse will be of length 2 *sqrt 2 cms.
b ) sin 45 = 1 / sqrt2 = sqrt2 / 2
c) if the 2 legs of triangle are both 2 cms area will be 1/2* 2* 2
3 probably. If 2 plates break out of 150 then you know that dividing 150 with 2 you get 75 and that means that 75 = 1 broken plates and which means that the next weak will be 1 broken plate. 150+75=225.
